#### Answer

f and g are inverses of each other

#### Work Step by Step

g(x) = $\sqrt[5] x$ = $x^{\frac{1}{5}}$
$g(f(x))= g(x^{5})$
${x^{5}}^{\frac{1}{5}}$ = x
$f(g(x)) = f(x^{\frac{1}{5}})$
${x^{\frac{1}{5}}}^{5}$ = x
Since f(g(x)) = g(f(x)), f and g are inverses of each other