SOLUTION: Is the function f(x)=(2(x^2-9))/(x^2-4) even? thanks

Question 974757: Is the function f(x)=(2(x^2-9))/(x^2-4) even? thanks
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!
Is the function f(x)=(2(x^2-9))/(x^2-4) even?

Replace x with (-x) and do the math.

f(-x) = [2(-x)^2-9)]/(-x)^2-4

If after doing the math, we get the original problem,

then the answer is even.

f(-x) = [2(x)^2-9)]/(x)^2-4

Notice that replacing x with (-x), we got the original

rational function again.

This means the answer is even.

Understand?
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