Answer
The statement does not make sense because $(f(g(4))$ yields a completely different result.
Work Step by Step
Given the values of $f(7)$ and $g(4)$, we can test $f(g(4))$ and learn that the statement's answer is incorrect.
$f(7)=5$
$g(4)=7$
$f(g(4))=f(7)=5$