Question

Let f(x) = 1 / (x-5) and g(x) =(5/x)+5

Find f(g(x)) and g(f(x))

I want to see if I'm doing it right

Answer 1

yeah, right >wink wink<
too bad you couldn't be bothered to show your work.
f(g) = 1/(g-5) = 1/(5/x + 5 - 5) = x/5
g(f) = 5/f + 5 = 5/(1/(x-5)) + 5 = 5(x-5) + 5 = 5x-20