Answer
$(-\infty,\infty)$.
Work Step by Step
From the definition of the trig inverse functions, the domain for $y=tan^{-1}(x)$ is $x\in(-\infty,\infty)$. Thus for $x=tan(tan^{-1}x)$, the restriction for $x$ is $x\in(-\infty,\infty)$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.1 The Inverse Sine, Cosine, and Tangent Functions - 6.1 Assess Your Understanding - Page 473: 9
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