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 $-2$.