Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - P.S. Problem Solving - Page 239: 3b

Answer

Odd

Work Step by Step

Suppose $f$ and $g$ are even functions. Thus, $(f+g)(-x)=f(-x) +g(-x)$ or, $=-f(x) +[-g(x)]$ or, $=-(f+g)(x)$ Therefore, the sum of two odd functions is odd.
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