The functionf(x)=x3+5is one-to-one. a. Find an equation forf−1,the inverse function.b. Verify that your equation is correct by showing thatff−1(x)=xandf−1(f(x))=x. The function f(x) = x³ + 5 is one-to-one.a. Find an equation for f1, the inverse function.b. Verify that your equation is correct by showing that f(f¹(x)) =x and f¹(f(x)) = x.a. Select the correct choice below and fill in the answer box(es) to complete your choice.(Simplify your answer. Use integers or fractions for any numbers in the expression.)O A. f¹(x)=, for all xOB. f¹(x) =for x ≥F¹(x)=\O C.OD. f¹(x) =for x #The equation isfor x ≤b. Verify that the equation is correct.f(f ¹(x)):0andf¹(f(x))f¹0Substitute.Simplify.

The function f(x)=x3+5i s one-to-one. To be found: a. Find an equation for f-1 the inverse…

Answered: The function f(x)=x3+5 is one-to-one.…

The function f(x)=x3+5 is one-to-one. a. Find an equation for f−1, the inverse function. b. Verify that your equation is correct by showing that ff−1(x)=x and f−1(f(x))=x.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 55E

See similar textbooks

Related questions

Q: A sum of $8,000 is invested at an interest rate of 6% per year. Find the time required for the money…

A: " According to the guidelines issued by the company We are supposed to answer only first three…

Q: 2. Under certain circumstances, a rumor spread according to the equation P 1 1 +15(2.1)-0.3t where…

Q: 1) Complete the ordered pairs for the equation: 2x - 4y = 3 (4,) and (, -2)

A: To complete the ordered pairs.

Q: 13) x - y = −3 -6 -5 -4 -3 -2 -1 АУ 5 4 -3 2 1 Т 2 В S -4 2 X

Q: Statesville's population in 2010 was about 24,400, and was growing by about 1% each year. If this…

A: Given that Statesville's population in 2010 was about 24,400 and was growing by about 1% each year.

Q: Graph the function. g(x)=x²-4 Plot five points on the graph of the function: one point with x = 0,…

Q: A is a finite set such that IP(A)| = 32. What is JAJ? 0 32 05 06 O Not enough information is given…

Q: Solve the equation and state the solution set. Remember to identify the values of the variable for…

Q: Let f(x)=-2x-1, h(x)=-x-4 Find (f o h)(1)=

Q: What is an equation of the line that passes through the point (-5, -6) and is parallel to the line x…

Q: A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x, as shown…

Q: computer shop charges 20.00 per hour( or a fraction of an hour) for the first two hours and an…

A: Given query is to find the charges for 150 minutes.

Q: 28. Find the range and kernel (those are new words for the column space and nullspace) of T. (a)…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for 4…

Q: 3) Given the function f(x) defined by the table below, 1 4 2 8 b) a) Evaluate f(6) Solve f(x) = 4 c)…

Q: . 25x² - 60x +36 .a²b² - 4 w4 - 49v²

A: Given query is to find the factors of the expression.

Q: Solve the rational inequality given using the algebraic method of cases x+3x-4 x²+x-6 ≥ 0

A: NOTE: Refresh your page if you can't see any equations. .

Q: < Perform the indicated operation. 7 7x+4 7x+4 +4= (Simplify your answer.)

Q: Solve the system below. Note that the solution can be found mentally, without the use of a…

Q: The profit for a product is given by P(x) = -13x² +1170x-23,400, where x is the number of units…

Q: Use the union rule to answer the question. If n(A) = 10, n(B) = 11, and n(ANB) = 7, what is n(AUB)?…

A: I am attaching image so that you understand each and every step.

Q: Use transformations of the absolute value function, f(x)= |x|, to graph the function g(x)= |x+61.…

A: parent function is f(x)=x

Q: computer shop charges 20.00 per hour( or a fraction of an hour) for the first two hours and an…

A: Given query is to find the charges fo 40 minute use.

Q: a) Let f and g be defined as fƒ\x² = x - 5 and gx=x²-1 f 1. f+g 2. f-g 3. fog 4. 5. g g f . Find,

Q: Find all complex solutions of the equation. Do not use a calculator. 5x+x=0 (*) The solution set is…

A: NOTE: Refresh your page if you can't see any equations. . factor oout x

Q: FOR QUESTIONS 3-5, WRITE THE EQUATION OF THE LINE. PLACE ANSWERS IN EITHER SLOPE- INTERCEPT FORM OR…

Q: Use transformations of f(x) = x² to graph the following function. g(x)=x²-2 Use the graphing tool to…

A: f(x)=x2

Q: Use substitution to determine which system is represented by the graph. Ay 20 -200 -20 A. 2x+4y=28…

Q: Find the domain of the function. f(x) = 8 2 x-x-210 What is the domain of f? (Type your answer in…

A: Domain is defined as the set of values of x for which the given function is defined.

Q: a) Polynomial equations with certain characteristics have no real solutions (x-intercepts). Give an…

A: To give an example of a polynomial with no real solution.

Q: Find an equation in point-slope y - y₁ = m(x-x₁) for the line through the given points. (-3,-6) and…

Q: f: Z+Z+. f(x) = x + 3 Select the correct description of the function f. a. One-to-one and onto b.…

Q: Given the exponential growth function f(x)=85 (1.007)x What is the initial value of the function?…

A: General exponential growth function is given by÷ yx=a1+rx For initial value x=0 y=a = initial…

Q: 25. Solve: 2 x-5 3x x+5 4 x²-25 T-af $1+3+ anottuloe t

A: Given 2x - 5 - 3xx + 5 = 4x2 - 25

Q: 3. Leah is working on the multiplication problem 2.43 X 0.148. Ignoring the decimal points, Leah…

Q: -7] 4. Let A= Find an invertible matrix P and a matrix C= such that A = PCP-1,

A: Given :A=1-191

Q: 2cosx 30. Prove that cos2x+1 did you use and why? secx Which double angle identity of cos2x

Q: Give the local and absolute extreme values of f. (pa) (r.s) my (c,d) (a,b) ✔ Give the local extreme…

A: We have given graph of the function From given graph Local minimum values occur at x=a,c Local…

Q: X+7 9 a. (fog)(x); b. (gof)(x); c. (fog)(7); d. (gof)(7) For f(x) = 9x - 7 and g(x)= a. (fog)(x) =…

Q: 1. Given the polynomial function p(x)= 12 + 4x - 3x² - x³ find (a) The degree of the polynomial (b)…

A: Given polynomial p(x) = 12 + 4x - 3x2 - x3

Q: How many units are estimated to be sold if Skyline, Inc., has a planned production of 817,444 units,…

Q: Set A has 10 elements. How many subsets does A have?

Q: Graphing Linear Equation in Standard Form

A: given 2x+y=4

Q: 3) Our school's art teacher took his class to a concert hall and paid $512 for 10 adult tickets and…

Q: Write the system of linear equations in the form AX = C. 2x 3y + 4z = 37 x + 2y - 4z = -21 3x - y +…

Q: 1. Determine the solutions of 55x² = 34x + 21. Find the sum of the 2 solutions obtained. Use any…

Q: For the function: ax+b f(x) cx+d Find the value of f-¹ (x) for a=-1.1, b = 1.5, c = 2.9, d = -2.6, x…

Q: Use the Gaussian Elimination method to solve the system of equations. If the system has infinitely…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: The half-life of radium is 1690 years. If 40 grams are present now, how much will be present in 920…

Q: Suppose A column of A-¹. = 32 5 4 1 630 -1 Use Cramer's Rule to determine the second

Q: Two parallel lines are cut by a transversal as shown below. Suppose m2=97°. Find m5 and m n 28. 12…

Question

The function

f(x)=x3+5

is one-to-one.

a. Find an equation for

f−1,

the inverse function.

b. Verify that your equation is correct by showing that

ff−1(x)=x

and

f−1(f(x))=x.

The function f(x) = x³ + 5 is one-to-one.
a. Find an equation for f1, the inverse function.
b. Verify that your equation is correct by showing that f(f¹(x)) =x and f¹(f(x)) = x.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
O A. f¹(x)=, for all x
OB. f¹(x) =
for x ≥
F¹(x)=\
O C.
OD. f¹(x) =
for x #
The equation is
for x ≤
b. Verify that the equation is correct.
f(f ¹(x))
:0
and
f¹(f(x))
f¹0
Substitute.
Simplify.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

To convert from x degrees Celsius toy degrees Fahrenheit, we use the formula f(x)=95x+32 . Find the inverse function, if it exists, and explain its meaning.
How do you find the inverse of a function algebraically?
(a) For a Function to have an inverse, it must be______ So which one of the following functions has an inverse? f(x)=x2g(x)=x3 (b) what is the inverse of the function that you chose in part(a)?
How do you find the domain for the composition of two functions, fg ?
Can a function be its own inverse? Explain.
Verify the inverse of the function f(x)=5x3.