   Chapter 1.3, Problem 65E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Suppose g is an even function and let h =f ◦ g. Is h always an even function?

To determine

To check: Whether h=fg is always an even function if g is even.

Explanation

Given:

The function g(x) is an even function.

The composite function, h(x)=(fg)(x) .

Verification:

Since g(x) is an even function, g(x)=g(x) .

Find the value of h(x) .

h(x)=(fg)(x)<

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Study Guide for Stewart's Multivariable Calculus, 8th 