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: 6

Answer

$g(f(0))=0$

Work Step by Step

First, find $f(0)$. Use $x=0$ in $f(x)$ to get $f(0)=3(0)-1=-1$. Now, use $f(0)$ in $g(x)$ to get $g(f(0))=g(-1)=1-(-1)^2=1-1=0$.
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