Answer
$y=f[g(x)],$
$f(x)=x^{3/5},\qquad g(x)=5-x^{2}$
Work Step by Step
A reliable method is asking:
"How would we calculate this on a calculator?".
First, calculate $g(x)=5-x^{2}$
and then, calculate: $\quad [$the result, g(x) $]^{3/5}$
(apply $f(x)=x^{3/5}$ on g(x) instead of x)
$f[g(x)]=(g(x))^{3/5}=(5-x^{2})^{3/5}=y$