Thanks for the help, for some reason I thought I could further simplify that.
So for (f x g)(x)
It'd be
1/(5x2+3) x 1/(x-2)1/2=
1/(5x2)*(x-2)1/2 + 1/3((x-2)1/2
That's where my problem lies, I have forgotten how to deal with the root of x-2 when trying to simplify this further...