Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Additional and Advanced Exercises - Page 38: 4

Answer

$g(0)=0$

Work Step by Step

Given $g(x)$ is an odd function, we have $g(-x)=-g(x)$. Let $x=0$, we have $g(-0)=-g(0)$ or $g(0)=-g(0)$ which leads to $2g(0)=0$ and $g(0)=0$
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