Answer
$-2$
Work Step by Step
RECALL:
$g(a)$ represents the value of the function $g$ when $x=a$.
To find the value of $x$ such that $g(x)=1$, imagine the line $y=1$ and check the points on the graph where the line will pass through.
Notice that the horizontal line $y=1$ will pass through the graph at exactly one point: $(-2, 1)$.
Thus, $g(-2) = 1$.
Therefore the value of $x$ for which $g(x) = 1$ is $-2$.