Answer
$1$
Work Step by Step
Based on the table, the $y-$value of $g$ at $x=6$ is $4$. Hence, $g(6)=4.$ The $y-$value of $f$ when $x=4$ is $1$. Hence, $f(4)=1$. The given composition function, $
(f\circ g)(6)
,$ evaluates to
\begin{array}{l}\require{cancel}
f(g(6))
\\\\=
f(4)
\\\\=
1
.\end{array}