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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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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
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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