Answer
$\{x|x\ne\pm1\}$.
Work Step by Step
The domain requirement of this function is $x^4-1\ne0 \Longrightarrow (x^2+1)(x+1)(x-1)\ne0 \Longrightarrow x\ne\pm1$ or $\{x|x\ne\pm1\}$.
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 3 - Polynomial and Rational Functions - Section 3.4 Properties of Rational Functions - 3.4 Assess Your Understanding - Page 240: 20
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