
Composition of Functions
Hello everyone,
I'm having trouble finding the sums of functions.
My particular problem is,
f(x)=radical(x24) ; g(x)=x2/x2+1
They're asking me to solve (f+g)(x).
If (f+g)(x) is the same thing as f(x)+g(x) then:
radical(x24)+x2/x2+1
(x2)+?
Can x2/x2+1 be simplified so I can add the two functions easier?
I tried simplifying a bunch of things but I can't seem to get anywhere.
Any help would be appreciated. Thanks in advance!

$\displaystyle (f+g)(x) = f(x) + g(x)$
$\displaystyle (f \circ g)(x) = f[g(x)]$

I'm not sure how your functions look but I'm going to assume it was like this and you just forgot to indicate it was up to a power. Correct me if I'm wrong.
$\displaystyle f(x)=\sqrt{x^24}$
$\displaystyle g(x)=\frac{x^2}{x^2+1}$
so
$\displaystyle (f+g)(x) = f(x) + g(x)$
$\displaystyle = \sqrt{x^24} + \frac{x^2}{x^2+1}$
find common denominator
$\displaystyle = \frac{(x^2+1)\sqrt{x^24} + x^2}{x^2+1}$