Answer
$g(10)=-2$
Work Step by Step
RECALL:
$g(a)$ represents the value of the function $g$ when $x=a$.
To find the value of $g(10)$, look for the point on the graph where $x=10$.
Notice that from $x=2$ to the right, the function $g$ is represented by the horizontal line $y=-2$.
This means that the value of the function $g$ in the interval $[2, \infty)$ is $-2$.
Thus, $g(10)=-2$.