The function f(x) = x° - 9 is one-to-one. 1 a. Find an equation for f ', the inverse function. 1 b. Verify that your equation is correct by showing that f(f '(x) = x and f '(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. f f(x)= for all x B. f"(x) =| for x# O c. f'x)=| %3D for x2 O D. f(x) = for xs b. Verify that the equation is correct. = f and Substitute. Simplify. The equation is
The function f(x) = x° - 9 is one-to-one. 1 a. Find an equation for f ', the inverse function. 1 b. Verify that your equation is correct by showing that f(f '(x) = x and f '(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. f f(x)= for all x B. f"(x) =| for x# O c. f'x)=| %3D for x2 O D. f(x) = for xs b. Verify that the equation is correct. = f and Substitute. Simplify. The equation is
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![3
The function f(x) = x° - 9 is one-to-one.
- 1
a. Find an equation for f ', the inverse function.
- 1
b. Verify that your equation is correct by showing that f(f '(x))
=x and f '(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.)
- 1
O A. f'(x)=
for all x
- 1
O B. f'(x)=|
for x+
Oc. f'(x)=
for x2
- 1
O D. f'(x) =
for xs
b. Verify that the equation is correct.
- 1
f(t'x) = f(]
- 1
and
f(f(x))
= f
Substitute.
Simplify.
The equation is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e0cd55c-6f84-412a-ac81-9a79eaea810f%2F7a17ac49-abe4-4111-95a3-85bc68ab30e0%2Fsxc78td_processed.png&w=3840&q=75)
Transcribed Image Text:3
The function f(x) = x° - 9 is one-to-one.
- 1
a. Find an equation for f ', the inverse function.
- 1
b. Verify that your equation is correct by showing that f(f '(x))
=x and f '(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.)
- 1
O A. f'(x)=
for all x
- 1
O B. f'(x)=|
for x+
Oc. f'(x)=
for x2
- 1
O D. f'(x) =
for xs
b. Verify that the equation is correct.
- 1
f(t'x) = f(]
- 1
and
f(f(x))
= f
Substitute.
Simplify.
The equation is
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