Answer
f(x) and g(x) are inverses
Work Step by Step
f(g(x)) = $\sqrt[3] {x^{3}+4-4}$
f(g(x)) =$\sqrt[3] x^{3}$
f(g(x)) = x
g(f(x)) = ${(\sqrt[3] {x-4})}^{3}$+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
