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: 28

Answer

$f(4)=20$ $f^{-1}(15)=3$

Work Step by Step

We have $$ f(4)=5 \cdot 4=20 . $$ To find $f^{-1}(15)$, we find the value of $x$ giving $f(x)=15$. If $15=5 x$, then $x=15 / 5=3$. Thus, $f^{-1}(15)=3$.
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