The function f(x) = (x + 7)³ is one-to-one. a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by showing that f(f'(x) =x and f (f(x)) =x.

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 +7)° is one-to-one.
a. Find an equation for f(x), the inverse function.
b. Verify that your equation is correct by showing that f(f¯'(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. f'(x) =
for x+
O B. f(x) =
for xs
OC. f'x) =
for x2
O D. f'x) =
for all x
Transcribed Image Text:The function f(x) = (x +7)° is one-to-one. a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by showing that f(f¯'(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. f'(x) = for x+ O B. f(x) = for xs OC. f'x) = for x2 O D. f'x) = for all x
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