The problem asks for what value of $x$, $g(x) = -3$, and there is a graph of the function $g(x)$ shown.

To solve this:

1. Look at the point where $g(x) = -3$ on the y-axis.
2. Identify the corresponding $x$-coordinate on the graph.

From the graph, it appears that $g(x) = -3$ corresponds to the point where the line intersects the y-value of -3. From visual inspection, this happens at $x = 2$.

Thus, the value of $x$ for which $g(x) = -3$ is:

$x = 2$

Would you like further details on how to interpret graphs, or have any other questions?

Here are 5 related questions:

1. How do you determine the slope of a linear function from a graph?
2. What is the domain of the given function $g(x)$?
3. How do you find where the function is increasing or decreasing from a graph?
4. What are the intercepts of the function $g(x)$?
5. How would you calculate the value of $g(x)$ for any given $x$?

Tip: When solving graph problems, always check where the graph intersects key points on the y-axis and x-axis to understand the behavior of the function.