Answer
$\{x| x\ne0,\pm2\}$
Work Step by Step
The domain requirement(s) of the function is $x^3-4x=x(x^2-4)=x(x+2)(x-2)\ne0$
Thus, the domain is $\{x| x\ne0,\pm2\}$
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 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 54: 54
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