SOLUTION: Find the domain of the function f(x)= 2x/x^2-4 Need this explained step by step line by line

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Question 1139251: Find the domain of the function
f(x)= 2x/x^2-4
Need this explained step by step line by line
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Not much sense writing a function that way. Meaning would be better shown as f(x)=2x/(x^2-4)

f%28x%29=2x%2F%28x%5E2-4%29

DOMAIN: What numbers can x be? What numbers are not allowed?
%282x%29%2F%28%28x-2%29%28x%2B2%29%29

Numerator will allow all real numbers but denominator must never be 0; so this means x%3C%3E2 and x%3C%3E-2.