https://file.aiquickdraw.com/mathbot/file/1727233480024r47jz2p1.jpg

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.

Learn how to solve for x when g(x) = -3 by interpreting a function graph. This problem focuses on understanding key points on the y-axis and identifying the corresponding x-coordinates. Ideal for middle school students.

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