Answer
$4$
Work Step by Step
Based on the graph, the $y-$value of $g$ at $x=2$ is $5$. Hence, $g(2)=5.$ The $y-$value of $f$ when $x=5$ is $4$. Hence, $f(5)=4$. Hence, the given composition function, $
f(g(2))
,$ evaluates to
\begin{array}{l}\require{cancel}
f(5)
\\\\=
4
.\end{array}