Answer
$ D=x \in \mathbb R; -2 \lt x \lt 2$
Work Step by Step
The domain of the logarithm function is:
$$ D=x \in \mathbb R; 4-x^{2} \gt 0$$
$$ D=x \in \mathbb R; (2-x)(2+x) \gt 0$$
We get the result:
$$ D=x \in \mathbb R; -2 \lt x \lt 2$$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises - Page 427: 53
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