SOLUTION: Find the domain of the function {{{ g(x)=2x/x^2-9 }}}

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Question 933429: Find the domain of the function
+g%28x%29=2x%2Fx%5E2-9+

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean,
g%28x%29=%282x%29%2F%28x%5E2-9%29=%282x%29%2F%28%28x-3%29%28x%2B3%29%29
Look for the points where the denominator goes to zero, these points are excluded from the domain since division by zero is undefined.
x-3=0
x=3
and
x%2B3=0
x=-3
So then in interval notation,
Domain : (infinity,-3)U(-3,3)U(3,infinity)