SOLUTION: what is the domain of the function f(x)=3x^2/x^2-49?

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Question 731676: what is the domain of the function f(x)=3x^2/x^2-49?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a guess that you do not mean what you wrote but mean this instead:

f(x)=(3x^2)/(x^2-49) as text
OR
f%28x%29=%283x%5E2%29%2F%28x%5E2-49%29 in rendered typesetting.

The important restriction on the function is that x%3C%3E-7 and x%3C%3E%2B7. The reason is that either of those values would make the denominator zero. The domain of f(x) is these three intervals:
(-infinity, -7)
(-7, +7)
(+7, +infinity).