Verify that f has an inverse function. Then use the function f and the given real number a to find (f¯')'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.) f(x) = a = -9 (f -1)'(-9) =

Verify that f has an inverse function. Then use the function f and the given real number a to find (f¯')'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.) f(x) = a = -9 (f -1)'(-9) =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

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Question

Verify that f has an inverse function. Then use the function f and the given real number a to find (f-)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.)
f(x) = (x5 + 5x3) a = -9
(F -1)'(-9) =

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Given

$f (x) = \frac{1}{8} (x^{5} + 5 x^{3}); a = - 9$

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