Question

How do you find the compositions given `f(x)=2-x` and `g(x)=2/(5-x)`?

Answer 1

There are two possible compositions: `f(g(x))` and `g(f(x))`.
We can do either:

`f(g(x)) = f(2/(5-x)) = 2 - 2/(5-x) = (8-2x)/(5-x)`
`g(f(x)) = g(2-x) = 2/(5-(2-x)) = 2/(3+x)`