Functions Modeling Change: A Preparation for Calculus, 5th Edition

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: 30

Answer

$ h\left(-\frac{1}{2}\right)=\frac{15}{8} $ $h^{-1}(8)=24$

Work Step by Step

We have $$ h\left(-\frac{1}{2}\right)=\frac{-1 / 2}{4}+2=-\frac{1}{8}+2=\frac{15}{8} $$ If $8=x / 4+2$, then $x / 4=6$, so $x=24$. Thus, $h^{-1}(8)=24$.
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