can someone please show me step by step how to add and simplify these two functions:

f(x)=sqrt((x^2) -4) + g(x)=x^2/((x^2)+1)

Question

can someone please show me step by step how to add and simplify these two functions: 

f(x)=sqrt((x^2) -4) + g(x)=x^2/((x^2)+1)

hero · Answer

A minute please

anonymous · Answer

sure:)

hero · Answer

Belay my last.

hero · Answer

I don't believe it is simplifyable

anonymous · Answer

well i figured you can add them algebraicly but i dunno if you can simplify it more. when i added them together i got this: $$((x^2+1)(\sqrt{(x^2-4)}) +x^2)/(x^2+1)$$

hero · Answer

Yeah, and then you could distribute the sqrt(x^2 - 4)

hero · Answer

http://www.wolframalpha.com/input/?i=%28x%5E2%2Bsqrt%28-4%2Bx%5E2%29%2Bx%5E2+sqrt%28-4%2Bx%5E2%29%29%2F%281%2Bx%5E2%29&lk=1&a=ClashPrefs_*Math-

anonymous · Answer

what do you mean by distrubute?

hero · Answer

I gave you a link to show you

anonymous · Answer

you mean this : $$\sqrt{(x+2)(x-2)}$$ ?

hero · Answer

No, that's factoring

hero · Answer

Did you click on that link yet?

anonymous · Answer

but isnt that just a different form of my answer because nothing is simplified, everything is just moved around

hero · Answer

Yeah, exactly. Like I said, I don't believe it is simplifyable. However, it is expandable

anonymous · Answer

oh alright thanks:) i thought it was just me being silly thinking its not simplify-able. well then makes me feel better that i didnt get that wrong :)