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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.3, Problem 64E

To determine

**To check:** Whether
*g* is odd; also check what would be the result if *f* is an odd function and if *f* is even function.

Expert Solution

The composition function

If*f* is an odd function, then the composition function

If *f* is an even function, then the composition function

**Given:**

The function

Therefore,

The composite function is,

That is

**Verification:**

The composition function

So, first obtain the value of

Thus,

Here, it cannot be concluded that whether the composition function

There exist two cases which are explained as follows.

**Case 1:**

If

Thus, the composite function

**Case 2:**

If

Thus, the composite function