alright, the problem I need help on is showing that two functions are inverses of each other using composition.

f(x) = x + 3 / x - 2 and g(x) = 2x - 3 / x - 1

I've gotten to this point below and don't know where to go from there

f(g(x)) = (2x - 3 / x - 1) + 3 / (2x - 3 / x - 1) - 2

any help would be great, thanks

-Laconian