Answer
$p(8)=3\sqrt 2$
$p^{-1}(\sqrt{2})=72$.
Work Step by Step
We have
$$
p(8)=\frac{12}{\sqrt{8}}=\frac{6}{\sqrt{2}}=3\sqrt 2
$$
If $\sqrt{2}=12 / \sqrt{x}$, then $\sqrt{2 x}=12$, so $x=72$. Thus, $p^{-1}(\sqrt{2})=72$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - Review Exercises and Problems for Chapter Two - Page 110: 44
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