Answer
f(x) and g(x) are inverses
Work Step by Step
f(g(x)= $\frac{2}{\frac{2}{x}+5-5}$
f(g(x)= $\frac{2}{\frac{2}{x}}$
f(g(x)= x
g(f(x))= $\frac{2}{\frac{2}{x-5}}$+5
g(f(x))= x-5+5
g(f(x))= x
f(x) and g(x) are inverses because f(g(x)) and g(f(x)) are both equal to x
