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10th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781285057095

Chapter P.3, Problem 65E

Textbook Problem

**Evaluating Composite Functions** Given

(a)

(b)

(c)

(d)

(e)

(f)

Calculus

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P.1 - EXPLORING CONCEPTS Using Intercepts Write an...Ch. P.1 - Proof (a) Prove that if a graph is symmetric with...Ch. P.1 - HOW DO YOU SEE IT? Use the graphs of the two...Ch. P.1 - True or False ? In Exercises 75-78, determine...Ch. P.1 - True or False ? In Exercises 75-78, determine...Ch. P.1 - True or False? In Exercises 75-78, determine...Ch. P.1 - True or False? In Exercises 75-78, determine...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 510, plot...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Sketching Lines In Exercises 13 and 14. sketch the...Ch. P.2 - Sketching Lines In Exercises 13 and 14, sketch the...Ch. P.2 - Finding Points on a Line In Exercises 15-18, use...Ch. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Finding an Equation of a Line In Exercises 1924,...Ch. P.2 - Finding an Equation of a Line In Exercises 1924,...Ch. P.2 - Conveyor Design A moving conveyor is built to rise...Ch. P.2 - Modeling Data The table shows the populations y...Ch. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Sketching a Line in the Plane In Exercises 3138,...Ch. P.2 - Sketching a Line in the Plane In Exercises 3542,...Ch. P.2 - Finding an Equation of a Line In Exercises 3946,...Ch. P.2 - Finding an Equation of a Line In Exercises 4350,...Ch. P.2 - Finding an Equation of a Line In Exercises 4350,...Ch. P.2 - Finding an Equation of a Line In Exercises 4350,...Ch. P.2 - Finding an Equation of a Line In Exercises 43-50,...Ch. P.2 - Finding an Equation of a Line In Exercises 4350,...Ch. P.2 - Finding an Equation of a Line In Exercises 3946,...Ch. P.2 - Finding an Equation of a Line In Exercises 3946,...Ch. P.2 - Find an equation of the vertical line with...Ch. P.2 - Using Intercepts Show that the line with...Ch. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Rate of Change In Exercises 63 and 64, you are...Ch. P.2 - Rate of Change In Exercises 6366, you are given...Ch. P.2 - Rate of Change In Exercises 63 and 64, you are...Ch. P.2 - Rate of Change In Exercises 6366, you are given...Ch. P.2 - Collinear Points In Exercises 65 and 66. determine...Ch. P.2 - Collinear Points In Exercises 65 and 66. determine...Ch. P.2 - WRITING ABOUT CONCEPTS Finding Points of...Ch. P.2 - WRITING ABOUT CONCEPTS Finding Points of...Ch. P.2 - WRITING ABOUT CONCEPTS Finding Points of...Ch. P.2 - Show that the points of intersection in Exercises...Ch. P.2 - Analyzing a Line A line is represented by the...Ch. P.2 - Tangent Line Find an equation of the line tangent...Ch. P.2 - Tangent Line Find an equation of the line tangent...Ch. P.2 - HOW DO YOU SEE IT? Several lines are shown in the...Ch. P.2 - Temperature Conversion Find a linear equation that...Ch. P.2 - Reimbursed Expenses A company reimburses its sales...Ch. P.2 - Choosing a Job As a salesperson, you receive a...Ch. P.2 - Straight-Line Depreciation A small business...Ch. P.2 - Apartment Rental A real estate office manages an...Ch. P.2 - Modeling Data An instructor gives regular 20-point...Ch. P.2 - Distance In Exercises 83–86, find the distance...Ch. P.2 - Distance In Exercises 8386, find the distance...Ch. P.2 - Distance In Exercises 8386, find the distance...Ch. P.2 - Distance In Exercises 8386, find the distance...Ch. P.2 - Distance Show that the distance between the point...Ch. P.2 - Distance Write the distance d between the point...Ch. P.2 - Proof Prove that the diagonals of a rhombus...Ch. P.2 - Proof Prove that the figure fanned by connecting...Ch. P.2 - ProofProve that if the points (x1,y1) and (x2,y2)...Ch. P.2 - Proof Prove that if the slopes of two nonvertical...Ch. P.2 - True or False ? In Exercises 85 and 86, determine...Ch. P.2 - True or False? In Exercises 9396, determine...Ch. P.2 - True or False? In Exercises 85 and 86, determine...Ch. P.2 - True or False? In Exercises 9396, determine...Ch. P.3 - Evaluating a Function In Exercises 110, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 1-10, evaluate...Ch. P.3 - Evaluating a Function In Exercises 110, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 110, evaluate...Ch. P.3 - Evaluating a Function In Exercises 110, evaluate...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain of a Function In Exercises...Ch. P.3 - Finding the Domain of a Function In Exercises...Ch. P.3 - Finding the Domain of a Function In Exercises...Ch. P.3 - Finding the Domain of a Function In Exercises...Ch. P.3 - Finding the Domain of a Function In Exercises...Ch. P.3 - Finding the Domain of a Function In Exercises...Ch. P.3 - Finding the Domain and Range of a Piecewise...Ch. P.3 - Finding the Domain and Range of a Piecewise...Ch. P.3 - Finding the Domain and Range of a Piecewise...Ch. P.3 - Finding the Domain and Range of a Piecewise...Ch. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Sketching a Graph of a Function In Exercises 3340,...Ch. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Sketching a Graph of a Function In Exercises 3340,...Ch. P.3 - Sketching a Graph of a Function In Exercises 3340,...Ch. P.3 - WRITING ABOUT CONCEPTS Describing a Graph The...Ch. P.3 - Sketching a Graph A student who commutes 27 miles...Ch. P.3 - Using the Vertical Line Test In Exercises 39-42....Ch. P.3 - Using the Vertical Line Test In Exercises 39-42,...Ch. P.3 - Using the Vertical Line Test In Exercises 39-42....Ch. P.3 - Using the Vertical Line Test In Exercises 39-42....Ch. P.3 - Deciding Whether an Equation Is a Function In...Ch. P.3 - Deciding Whether an Equation Is a Function In...Ch. P.3 - Deciding Whether an Equation Is a Function In...Ch. P.3 - Deciding Whether an Equation Is a Function In...Ch. P.3 - Transformation of a Function In Exercises 47-50,...Ch. P.3 - Transformation of a Function In Exercises 5154,...Ch. P.3 - Transformation of a Function In Exercises 47-50,...Ch. P.3 - Transformation of a Function In Exercises 47-50,...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Combinations of Functions In Exercises 63 and 64,...Ch. P.3 - Combinations of Functions In Exercises 59 and 60,...Ch. P.3 - Evaluating Composite Functions Given f(x)=x and...Ch. P.3 - Evaluating Composite Functions Given f (x) = sin x...Ch. P.3 - Finding Composite Functions In Exercises 63-66,...Ch. P.3 - Finding Composite Functions In Exercises 6770,...Ch. P.3 - Finding Composite Functions In Exercises 63-66,...Ch. P.3 - Finding Composite Functions In Exercises 63-66,...Ch. P.3 - Evaluating Composite Functions Use the graphs of f...Ch. P.3 - Ripples A pebble is dropped into a calm pond,...Ch. P.3 - Think About It In Exercises 69 and 70, F(x)=fgh....Ch. P.3 - Think About It In Exercises 73 and 74, F(x)=fgh....Ch. P.3 - Think About It In Exercises 71 and 72, find the...Ch. P.3 - Think About It In Exercises 71 and 72, find the...Ch. P.3 - Ever, and Odd Functions The graphs of f, g, and h...Ch. P.3 - Even and Odd Functions The domain of the function...Ch. P.3 - Even and Odd Functions and Zeros of Functions In...Ch. P.3 - Even and Odd Functions and Zeros of Functions In...Ch. P.3 - Even and Odd Functions and Zeros of Functions In...Ch. P.3 - Even and Odd Functions and Zeros of Functions In...Ch. P.3 - Writing Functions In Exercises 79-82, write an...Ch. P.3 - Writing Functions In Exercises 79-82, write an...Ch. P.3 - Writing Functions In Exercises 79-82, write an...Ch. P.3 - Writing Functions In Exercises 79-82, write an...Ch. P.3 - Sketching a Graph In Exercises 83-86, sketch a...Ch. P.3 - Sketching a Graph In Exercises 83-86, sketch a...Ch. P.3 - Sketching a Graph In Exercises 8790, sketch a...Ch. P.3 - Sketching a Graph In Exercises 8790, sketch a...Ch. P.3 - Domain Find the value of c such that the domain of...Ch. P.3 - Domain Find all values of c such that the domain...Ch. P.3 - Graphical Reasoning An electronically controlled...Ch. P.3 - HOW DO YOU SEE IT? Water runs into a vase of...Ch. P.3 - Automobile Aerodynamics The horsepower H required...Ch. P.3 - Modeling Data The table shows the average numbers...Ch. P.3 - Think About It Write the function f(x) = |x| + | x...Ch. P.3 - Writing Use a graphing utility to graph the...Ch. P.3 - Proof Prove that the function is odd...Ch. P.3 - Proof Prove that the function is even....Ch. P.3 - Proof Prove that the product of two even (or two...Ch. P.3 - Proof Prove that the product of an odd function...Ch. P.3 - Length A right triangle is formed in the first...Ch. P.3 - Volume An open box of maximum volume is to be made...Ch. P.3 - True or False ? In Exercises 103-108, determine...Ch. P.3 - True or False? In Exercises 103-108, determine...Ch. P.3 - True or False? In Exercises 103-108, determine...Ch. P.3 - True or False? In Exercises 103-108, determine...Ch. P.3 - True or False? In Exercises 103-108, determine...Ch. P.3 - True or False? In Exercises 103-108, determine...Ch. P.3 - Let R be the region consisting of the points (x,...Ch. P.3 - Consider a polynomial f(x) with real coefficients...Ch. P.4 - Wages Each ordered pair gives the average weekly...Ch. P.4 - Quiz Scores The ordered pairs represent the scores...Ch. P.4 - Hooke's Law Hookes Law states that the force F...Ch. P.4 - Falling Object In an experiment, students measured...Ch. P.4 - Energy Consumption and Gross National Product The...Ch. P.4 - HOW DO YOU SEE IT? Determine whether the data can...Ch. P.4 - Beam Strength Students in a lab measured the...Ch. P.4 - Car Performance The time t (in seconds) required...Ch. P.4 - Engine Performance A V8 car engine is coupled to a...Ch. P.4 - Boiling Temperature The table shows the...Ch. P.4 - Automobile Costs The data in the table show the...Ch. P.4 - 12. Health Maintenance Organizations The bar...Ch. P.4 - Harmonic Motion The motion of an oscillating...Ch. P.4 - Temperature The table shows the normal daily high...Ch. P.4 - WRITING ABOUT CONCEPTS Modeling Data In Exercises...Ch. P.4 - WRITING ABOUT CONCEPTS Modeling Data In Exercises...Ch. P.4 - PUTNAM EXAM CHALLENGE For i = 1,2, let Ti be a...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Testing for Symmetry In Exercises 5-8, test for...Ch. P - Testing for Symmetry In Exercises 5-8, test for...Ch. P - Testing for Symmetry In Exercises 5-8, test for...Ch. P - Testing for Symmetry In Exercises 5-8, test for...Ch. P - Using Intercepts and Symmetry to Sketch a Graph in...Ch. P - Using Intercepts and Symmetry to Sketch a Graph in...Ch. P - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P - Using Intercepts and Symmetry to Sketch a Graph in...Ch. P - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P - Using Intercepts and Symmetry to Sketch a Graph in...Ch. P - Finding Points of Intersection In Exercises 15-18,...Ch. P - Finding Points of Intersection In Exercises 15-18,...Ch. P - Finding Points of Intersection In Exercises 15-18,...Ch. P - Finding Points of Intersection In Exercises 15-18,...Ch. P - Finding the Slope of a Line In Exercises 19 and...Ch. P - Finding the Slope of a Line In Exercises 19 and...Ch. P - Finding an Equation of a Line In Exercises 21-24,...Ch. P - Finding an Equation of a Line In Exercises 21-24,...Ch. P - Finding an Equation of a Line In Exercises 21-24,...Ch. P - Finding an Equation of a Line In Exercises 21-24,...Ch. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Finding an Equation of a Line In Exercises 31 and...Ch. P - Finding an Equation of a Line In Exercises 31 and...Ch. P - Finding Equations of Lines Find equations of the...Ch. P - Finding Equations of Lines Find equations of the...Ch. P - Rate of Change The purchase price of a new machine...Ch. P - Break-Even Analysis A contractor purchases a piece...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Using the Vertical Line Test In Exercises 4346,...Ch. P - Using the Vertical Line Test In Exercises 4346,...Ch. P - Using the Vertical Line Test In Exercises 4346,...Ch. P - Deciding Whether an Equation is a Function In...Ch. P - Transformations of Functions Use a graphing...Ch. P - Conjecture (a) Use a graphing utility to graph the...Ch. P - Think About It Use the results of Exercise 48 to...Ch. P - Think About It What is the minimum degree of the...Ch. P - Stress Test A machine part was tested by bending...Ch. P - Median Income The data in the table show the...Ch. P - Harmonic Motion The motion of an oscillating...Ch. P - Finding Tangent Lines Consider the circle...Ch. P - Finding Tangent Lines There are two tangent lines...Ch. P - Heaviside Function The Heaviside function H(x) is...Ch. P - Sketching Transformations Consider the graph of...Ch. P - Maximum Area A rancher plans to fence a...Ch. P - Maximum Area A rancher has 300 feet of fencing to...Ch. P - Writing a Function You are in a boat 2 miles from...Ch. P - Average Speed You drive to the beach at a rate of...Ch. P - Slope of a Tangent Line One of the fundamental...Ch. P - Slope of a Tangent Line Sketch the graph of the...Ch. P - Composite Functions Let f(x)=11x (a) What are the...Ch. P - Graphing an Equation Explain how you would graph...Ch. P - Sound Intensity A large room contains two speakers...Ch. P - Sound Intensity Suppose the speakers in Exercise...Ch. P - Lemniscate Let d1 and d2 be the distances from the...

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Suppose X is a normal random variable with =50 and =5. Find the value of: a. P(X60)b. P(X43)c. P(46X58).

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False:
converges.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

x2 + 6x + y2 − 10y + z = 0 is a(n):
ellipsoid
paraboloid
hyperbolic cone
elliptic cone

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Simplify each expression. Write all answer without using negative exponents. Assume that all variables are rest...

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Explain the difference among the terms research strategy, research design, and research procedure.

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The study described in the paper Marketing Actions Can Modulate Neural Representation of Experienced Pleasantne...

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The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on ma...

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Explain the distinction between a hypothesis and a prediction.

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Solve each of the following equations using the division principle of equality. Check each answer. 7x=21

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In Exercises 25-30, a pair of dice is rolled three times. Find the probability of each of the following. The se...

Mathematics: A Practical Odyssey

To establish the truth of a statement of the form “ x in D, y in E such that P(x,y),” you imaginethat someone h...

Discrete Mathematics With Applications

23. Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, … , E7 denote the sampl...

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PRACTICE PROBLEMS Write x3+1 as a product of a linear factor and a quadratic factor.

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4. Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships ar...

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Consider the concept of an integrating factor used in Problems 2938. Are the two equations M dx + N dy = 0 and ...

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Describing Transformations In Exercises 49-58, his related to one of the parent functions described in this cha...

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Use the following information to answer the next seven exercises: Studies are often done by pharmaceutical comp...

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