true or false: if f(x)=x2-4/x-2 and g(x)=x+2 then f and g are equal. please show work

Question

zepdrix · Answer

The numerator of f can be factored:$$\Large x^2-4\quad=\quad (x-2)(x+2)$$Hmm would that maybe allow us to simplify f(x) a little bit?

anonymous · Answer

I got it, thank you!

zepdrix · Answer

What did you get? :)

anonymous · Answer

that the equation is true

zepdrix · Answer

The wording of this question is a little confusing.
I guess it depends what they mean by `equal`.

If they mean, are the forms of the equations equal, then yes it's true.
But they don't have the same domain, f(x) doesn't include the point x=2.

Blah ignore me, just rambling :) It's probably true..

anonymous · Answer

I get what you're saying but it's asking if the forms of the equations equal after simplifying and they do, thanks again!