The problem asks us to find the input values $x$ for which the function $g(x)$ is equal to 4, based on the provided graph of the function $g$. We need to find the $x$ values where the graph of $g$ intersects the horizontal line $y = 4$.

1. Problem Description

The problem asks us to find the input values $x$ for which the function $g(x)$ is equal to 4, based on the provided graph of the function $g$. We need to find the $x$ values where the graph of $g$ intersects the horizontal line $y = 4$.

2. Solution Steps

To find the input values for which $g(x) = 4$, we look at the graph and find the points where the $y$-value is

4.

- We can see that the graph intersects the horizontal line $y=4$ at two points.

- The first point appears to have an $x$-coordinate of $-2$.

- The second point appears to have an $x$-coordinate of $2$.

- Therefore, $g(x) = 4$ when $x = -2$ and $x = 2$.

3. Final Answer

-2 and 2