Answer
$
k(3)=2 ,
$
$k^{-1}(14)=6$
Work Step by Step
We have
$$
k(3)=4(3)-10=12-10=2 .
$$
To find $k^{-1}(14)$, we find the value of $x$ so that $k(x)=14$. If $14=4 x-10$, then $24=4 x$ so $x=6$. Thus, $k^{-1}(14)=6$.
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 - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Exercises and Problems - Page 102: 29
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