Answer
The domain of g is all real numbers.
Work Step by Step
By definition:
$t^\frac{2}{3} = \sqrt[3] {t^2}$
Because the index is odd, or because $t^2$ is always $t^2\geq0$:
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 1 - Precalculus Review - 1.3 The Basic Classes of Functions - Preliminary Questions - Page 22: 2
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