Answer
$\color{blue}{\bf{ 12 } }$
Work Step by Step
We are given a table of values for $f(x)$ and $g(x)$ and asked to find:
$(g\text{ }\omicron\text{ }(f\text{ }\omicron\text{ }g))( 7 )$, which is read as $g$ of $f$ of $g$ of $7$
From the given table we see that:
$g( 7 )= 6 $
and,
$f( 6 )= 9 $
and finally,
$g( 9 )= 12 $
$\color{blue}{\bf{ 12 } }$