For f(x) = 6x and g(x)=x+8, find the following functions.a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)a. (fog)(x) =(Simplify your answer.)b. (gof)(x) =(Simplify your answer.)c. (fog)(2) =d. (gof)(2) = Find the distance between the pair of points (2.5,8.2) and (-0.5,5.2). If necessary, express the answer in simplified radical form and then round to two decimal places.The distance between the given points is units.(Simplify your answer. Type an exact answer, using radicals as needed.)The distance between the given points is approximately units.(Type an integer or decimal rounded to two decimal places as needed.)

Solution ) f(x) = 6x , g(x) = x + 8 a) (f o g) ( x ) = f ( g(x) ) = f( x + 8 ) = 6 ( x + 8 ) = 6x…

For f(x) = 6x and g(x)=x+8, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2) a. (fog)(x) = (Simplify your answer.) b. (gof)(x) = (Simplify your answer.) c. (fog)(2) = d. (gof)(2) =

For f(x) = 6x and g(x)=x+8, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2) a. (fog)(x) = (Simplify your answer.) b. (gof)(x) = (Simplify your answer.) c. (fog)(2) = d. (gof)(2) =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

See similar textbooks

Related questions

Q: Evaluate (csc 4x + cot 4x) dx 2

A: Given :∫csc4x+cot4x2dx

Q: x2/3+ y2/3=4 from x =1 to x = 8. Find the arc length of the curve x²

Q: Question 3 Given the U= {1,2,3,4,5,6,7,8,9,10) and A = {3,4,5,6,7} B = {1,5,7,9} C = {3,6,9} D =…

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 044…

Q: Find the indefinite integral. (Use c for the constant of integration.) [(4t³i (4t³i+ 14tj -7√tk) dt

A: The given integral is; (4t3i +14tj -7(sqrt(t))k).

Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (1 + s)i + j K = (No…

A: The given problem is solved below in detail.

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

Q: the displacement is correct, but the distance is wrong

A: The velocity function is v(t)=-t2+6t-8 on the interval -3,5

Q: 2. Find the equation of the line tangent to the circle x² + y² + 6x - 2y - 15 = 0 at the point…

A: Here the given circle is , x2+y2+6x-2y-15=0 We need to find the tangent to this circle at the point…

Q: Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20…

Q: Find the derivative of F(y). Select the correct answer. F( y) = sinh y tanh y F' (y) = sinh y sech y…

Q: Q6A)If y = cos ¹) prove Zyy + z = 0.

A: See this solution in below

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

Q: Trig Substitution: For the following integral, which trig substitution is needed? O Tangent Sine…

Q: Question 20 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = −312 - a) Show that the given…

Q: 4. What is the length of the latus rectum of the ellipse whose equation is + = 1. 16 25

A: Latus rectum of an ellipse is a straight line passing through the foci of the ellipse and…

Q: Find the 2nd derivative of f(x) = √2x-x²

Q: The velocity function (in meters per second) is given for a particle moving along a line. Find the…

A: You must have idea how to find distance under v-t curve.

Q: 5. 2π π [[(sinx + cosy)dxdy πο

Q: 16. (yety-1/y) dx + (xey + x/y²) dy = 0

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A: Please see the below picture for detailed solution.

Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x) =…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: 2. What is the radius of the circle defined by x + y² - 6x + 4y - 1 = 0

A: x2 +y2 -6x +4y -1 = 0 here we have to find radius standrad form of circle is (x-a)2 + (y-b)2 = r2…

Q: 1. 3 0 S 0-2 (x²y - 2xy)dydx

Q: 1.)fx²cos²2xdx; Evaluate using integration by parts

Q: Given the space curve r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4 B

Q: Question: 9 a)Use the second derivative test to determine whether the function has a local maximum…

Q: Given that the graph of f passes through the point (1,9) and that the slope of its tangent line at…

A: Slope of the tangent line to the curve y = f(x) is f '(x)

Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

Q: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

A: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

Q: J 4 sin xecos* d.c

Q: Given that 2 ≤ f(x) ≤ 4 for 4 ≤ x ≤ 5, estimate the value of 5 0³/ [ f(x)dx 5 [²₁ <5 f(x)dx

A: Given 2≤f(x)≤44≤x≤5To find range of∫45f(x)dx

Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ As we know that; The slope of the tangent line to the given curve is…

Q: lf f(x) = -[-² 0 u²-6u +5du, then what is the y-coordinate of its inflection point? Selected Answer:…

Q: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: 리 The amount of time in seconds, f, it takes for a bungee jumper to free fall is given by the…

A: The amount of time in seconds, t, it takes for a bungee jumper to freefall is given by the function…

Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

Q: If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that…

Q: Say a candidate is running for mayor of a city. During the incumbent mayor's first year in office,…

A: Given that Say a candidate is running for mayor of a city. During the incumbent mayor's first year…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

Q: H.W: Evaluate the integral 30 J S (x²y- 0-2 1. (x²y - 2xy)dydx

Q: Determine where the vector function r(t) = i + (14t) j is continuous. Use symbolic notation and…

A: Please see the below picture for detailed solution.

Q: Question 2 Given the equation −4x² + 8x − 4y² − 56y - 4z² + 32z = -312 a) Show that the given…

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

Q: Find the indefinite integral. x + 7 x² + 14x5 Step 1 To find the indefinite integral dx J 1 x + 7 x²…

A: To find the value of given indefinite integral.

Question

For f(x) = 6x and g(x)=x+8, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
a. (fog)(x) =
(Simplify your answer.)
b. (gof)(x) =
(Simplify your answer.)
c. (fog)(2) =
d. (gof)(2) =

Find the distance between the pair of points (2.5,8.2) and (-0.5,5.2). If necessary, express the answer in simplified radical form and then round to two decimal places.
The distance between the given points is units.
(Simplify your answer. Type an exact answer, using radicals as needed.)
The distance between the given points is approximately units.
(Type an integer or decimal rounded to two decimal places as needed.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
How do you find the domain for the composition of two functions, fg ?
For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6
For the following exercises, determine whether each functionsare one-to-one. 7. f(x)=3x+5
For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 3. f(2)