Chapter 2 - Section 2.7 - Combining Functions - 2.7 Exercises - Page 217: 37

$4$

Based on the graph, the $y-$value of $g$ at $x=-2$ is $1$. Hence, $g(-2)=1.$ The $y-$value of $g$ when $x=1$ is $4$. Hence, $g(1)=4$. The given composition function, $ (g\circ g)(-2) ,$ evaluates to \begin{array}{l}\require{cancel} g(g(-2)) \\\\= g(1) \\\\= 4 .\end{array}