Answer
f(x) and g(x) are inverses
Work Step by Step
f(g(x)) = $\frac{3}{\frac{3}{x}+4-4}$
f(g(x)) = $\frac{3}{\frac{3}{x}}$
f(g(x)) =x
g(f(x)) = $\frac{3}{\frac{3}{x-4}}$+4-4
g(f(x)) = x+4-4
g(f(x)) = x
f(x) and g(x) are inverses because f(g(x)) and g(f(x)) are both equal to x