Answer
(a) $7$
(b)$\frac{1}{8}$
Work Step by Step
(a) Since $ f(7)=3$ , then $f^{-1}(3)=7$
(b) since
\begin{align*}
(f^{-1})'(3)&=\frac{1}{f'(f^-1(3))}\\
&=\frac{1}{f'(7)}\\
&=\frac{1}{8}
\end{align*}
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - Review - Exercises - Page 505: 3
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