The function f(x) = x° - 2 is one-to-one. a. Find an equation for f1, the inverse function. b. Verify that your equation is correct by showing that f(f-"(x) = x and f"1 (f(x)) = x. .....

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.8: one-to-one Functions And Their Inverses
Problem 2E: (a) For a Function to have an inverse, it must be______ So which one of the following functions has...
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Question 3, 2.7.17

The function f(x) = x° - 2 is one-to-one.
a. Find an equation for f1, the inverse function.
b. Verify that your equation is correct by showing that f(f-1(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-1(x) =
for all x
O B. f-1(x) =
for x2
Oc. f-1(x)=
for x+
O D. f-1(x) =|
for xS
Transcribed Image Text:The function f(x) = x° - 2 is one-to-one. a. Find an equation for f1, the inverse function. b. Verify that your equation is correct by showing that f(f-1(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-1(x) = for all x O B. f-1(x) = for x2 Oc. f-1(x)= for x+ O D. f-1(x) =| for xS
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