Answer
The inverse of the function is
$f^{-1}(P)=\frac{P+2}{14}$
Work Step by Step
Since $P=14 q-2$, solving for $q$ gives
$$
\begin{aligned}
14 q-2 & =P \\
q & =\frac{P+2}{14} \\
f^{-1}(P) & =\frac{P+2}{14} .
\end{aligned}
$$
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: 39
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