Use

f(x) = 5x − 3 and g(x) = 4 − x2

to evaluate the expression.

(f ∘ g)(x)

(g ∘ f)(x)

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

Q: In the function: f(x)= (5x)/((x^2)-25 How do you find the x-values of the inflection points? Wher...

A: Given function is,

Q: find the component form of the vector. The unit vector obtained by rotating the vector {1, 0}135° co...

A: The unit vector obtained by rotating the vector {1, 0}135° counterclockwise about the origin.

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 4t lim 3...

A: First check which form this trigonometric function acquires at t=0.

Q: What is the Taylor series generated by a function ƒ(x) at a point x = a? What information do you nee...

A: With Taylor series, possible to guess what a function will look like in the area around the chosen p...

Q: Find equations for the tangents to the circle (x - 2)2 + ( y - 1)2 = 5 at the points where the circl...

A: Click to see the answer

Q: Graph the sets of points whose polar coordinates satisfy the equations and inequalities in. 1. 0<...

A: Problem1:The given inequality is the collection of all circles with radius 0 to 2, including both. T...

Q: What is the goal of the method of partial fractions?

A: The goal of the method of partial fractions is to integrate rational functions (a ratio of polynomia...

Q: Let a and b be constants with 0 < a < b. Does the sequence {(an + bn)}^1/n converge? If it doe...

A: Click to see the answer

Q: Given the cost and price functions C(q)-100q+49,000 and p(q)=-2.6q+870, if the company sets the pric...

A: Given

*question_answer*

Q: Find parametric equations and a parameter interval for the motion of a particle starting at the poin...

A: Given,

*question_answer*

Q: In the fucntion: f(x)= (12-3x)(e^x) When is the function concave up and concave down in interval n...

A: Given,f(x)= (12-3x)(e^x) By definition,

*question_answer*

Q: How can you sometimes use power series to estimate the values of nonelementary definite integrals? T...

A: Click to see the answer

*question_answer*

Q: find a parametrization for the curve. 1. the left half of the parabola y = x2 + 2x 2. the ray (hal...

A: Part 1;Given curve is

*question_answer*

Q: What is a monotonic sequence? Under what circumstances does such a sequence have a limit? Give examp...

A: The monotonic sequence theorem:

*question_answer*

Q: a. Find the length of one arch of the cycloid x = a(t - sin t), y = a(1 - cos t). b. Find the area o...

A: Click to see the answer

*question_answer*

Q: 50. A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and ...

A: According to the given information:Force = 1500 NChain makes an angle 300It is required to calculate...

*question_answer*

Q: Find the first four terms of the binomial series for the functions in Exercises 1–4. 1. (1 + x)^1/2 ...

A: Since we only answer the first question, we’ll answer the first. Please resubmit the question and sp...

*question_answer*

Q: What theorems are available for calculating limits of sequences? Give examples.

A: There are six theorems are available for calculating limits of sequence.

*question_answer*

Q: Plot the following points (given in polar coordinates). Then find all the polar coordinates of each ...

A: To plot the polar point and determine the all polar coordinates of each point.

*question_answer*

Q: Find the length of the curve r = 2 sin^3 (u/3), 0<=u<=3pai, in the polar coordinate plane.

A: To determine the length of the polar curve.

*question_answer*

Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 - ...

A: Given,

*question_answer*

Q: Besides geometric series, what other convergent and divergent series do you know?

A: Click to see the answer

*question_answer*

Q: A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on a tree...

A: A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on a tree...

*question_answer*

Q: I need to compute each limit. The limit is ... lim x -> 0 4(x+1)2+3(x+1)-7 ————— x

A: Click to see the answer

*question_answer*

Q: In each of Problems 18 through 21, find an integrating factor and solve the given equation. 18. (3x2...

A: Given the equation,(3x2y + 2xy + y3) + (x2 + y2)y′ = 0

*question_answer*

Q: The parabola y2 = 8x is shifted down 2 units and right 1 unit to generate the parabola ( y + 2)2 = 8...

A: Given equation of parabola after shifting

*question_answer*

Q: Match the polynomial function with its graph: [A] through [H]

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

*question_answer*

Q: if you have a parametric equation grapher, graph the equations over the given intervals x = 2 cos t ...

A: Click to see the answer

*question_answer*

Q: obtain a slope field and add to it graphs of the solution curves passing through the given points. y...

A: Click to see the answer

*question_answer*

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC...

*question_answer*

Q: What do you know about rearranging the terms of an absolutely convergent series? Of a conditionally ...

A: Click to see the answer

*question_answer*

Q: 15. Previous Answers + 0/1 points TanApCalcBr10 2.1.032. Find the domain of the function. (Enter you...

A: Find the domain of the given function

*question_answer*

Q: y + (2xy − e−2y)y′ = 0

A: Click to see the answer

*question_answer*

Q: describe the given set with a single equation or with a pair of equations. The set of points in spac...

A: Let any such point = (x,y,z) So, (x,y,z) is 2 units from the point (0, 0, 1) .Express this using dis...

*question_answer*

Q: n Exercises 17–23, find the eccentricity of the hyperbola. Then find and graph the hyperbola’s foci ...

A: Click to see the answer

*question_answer*

Q: How are integral tables typically used? What do you do if a particular integral you want to evaluate...

A: In simpler terms, the table of integrals offers readymade solution to different types of integral te...

*question_answer*

Q: slove the differential equation y′ = xy ln x ln y

A: Given:

*question_answer*

Q: ư (yũ + Vũ) du =

A: Click to see the answer

*question_answer*

Q: In the function: f(x)= (7x+B)/(4x+b) , with 7b>4B At which x-coordinates are there points of inf...

A: Click to see the answer

*question_answer*

Q: Find the centroid of the region enclosed by the x-axis and the cycloid arch x = a(t - sin t), y = a(...

A: Given data:

*question_answer*

Q: 1 +(x/y − sin y)y′ = 0

A: 1 +(x/y − sin y)y′ = 01 +(x/y − sin y)dy/dx = 0dx +(x/y − sin y)dy = 0Here M(x,y) = 1 and N(x,y) = (...

*question_answer*

Q: The parabola x2 = -4y is shifted left 1 unit and up 3 units to generate the parabola (x + 1)2 = -4(y...

A: Click to see the answer

*question_answer*

Q: In the function: f(x)= (4x^2)/((x^2)+4) What are the critical numbers of the function? Where is t...

A: Given function

*question_answer*

Q: Find the coordinates of the centroid of the curve x = e^t cos t, y = e^t sin t, 0<=t<= pai.

A: Click to see the answer

*question_answer*

Q: Find the X and Y intercepts of y= 1 - the square root of 1 -x2

A: Given,

*question_answer*

Q: Use the Taylor series for 1/ (1 - x2) to obtain a series for 2x/ (1 - x2)2.

A: Click to see the answer

*question_answer*

Q: How close is the approximation sin x = x when|x |<10^-3 ? For which of these values of x is x <...

A: Given information:

*question_answer*

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

*question_answer*

Q: Solve the equation. e4x+4e2x-21=0

A: Let us suppose y = e2x, substitute the value of y in the given equation:

*question_answer*

Q: a. Use Taylor’s formula with n = 2 to find the quadratic approximation of ƒ(x) = (1 + x)^k at x = 0 ...

A: Given:Use Taylor’s formula with n = 2 to find the quadratic approximation of ƒ(x) = (1 + x)^k at x =...