Answer
$\{x|x\neq-3$ and $x\neq 3\}$
Work Step by Step
We know that $\displaystyle \frac{2x}{x^{2}-9}$ is undefined whenever the denominator is 0, so:
$x^2-9=(x+3)(x-3)=0$
$x=3, x=-3$
Thus the domain is:
$\{x|x\neq-3$ and $x\neq 3\}$
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.