Answer
$4$
Work Step by Step
Value of certain composite functions formula:
$f(f^{-1}(x)) = \tan{(\tan^{-1}{x})}= x \hspace{25pt} -\infty \leq x \leq \infty$
$\therefore \tan{\left(\tan^{-1}{(4)} \right)} = \boxed{4}$
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 474: 47
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