Answer
$(-2,0)\cup(2,\infty)$
Work Step by Step
Given $\frac{x}{x^2-4}\gt0$, we can identify it as an inequality. Graph $f(x)=\frac{x}{x^2-4}$ as shown in the figure and we can find the solution set as $(-2,0)\cup(2,\infty)$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - Summary Exercises on Solving Equations and Inequalities - Exercises - Page 383: 22
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
