The function f(x) = x° - 7 is one-to-one. a. Find an equation for f-1, the inverse function. 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'(x) =| O B. f'(x) = for x* for all x Oc. f'x) =| for x 2 O D. f (x) =, for x s| b. Verify that the equation is correct. and f (f(x)) = f¯' (O Substitute. Simplify. The equation is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Chapter 2.7 Question 1

Please answer Part A and B.

O D. f'x) =
b. Verify that the
not verified.
f(f (x) = f(|
verified.
The equation is
Transcribed Image Text:O D. f'x) = b. Verify that the not verified. f(f (x) = f(| verified. The equation is
The function f(x) = x³ - 7 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'(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 all x
OC. f'x)=
for x2
O D. fx) =
for xs
b. Verify that the equation is correct.
and
f (f(x) = f
Substitute.
Simplify.
The equation is
Transcribed Image Text:The function f(x) = x³ - 7 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'(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 all x OC. f'x)= for x2 O D. fx) = for xs b. Verify that the equation is correct. and f (f(x) = f Substitute. Simplify. The equation is
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