Not sure about compound functions.

[Mortimerkane]

Let f(x) = (1/x+1)
and g(x) = (x/x-1)

I'm not entirely confident in my structure here.

Help me find f(g(x))? g(f(x))? f(g(f(x)))? f(g(x+h))?

Thanks, escape artists.

 

[Choppaduel]

I'm guessing you want the reduced form. So here's the unreduced form of the first one

f(g(x))= 1 /((x/(x-1)) + 1)

 

[Mortimerkane]

How about the instance of f(g(f(x))) maybe perhaps?

I don't quite understand mathematics... and I'm ashamed.