To determine where $f(x) = g(x)$ is true, we would need a graph that shows both functions $f(x)$ and $g(x)$. The solution occurs at the point where the two curves intersect, as that is where the output values (y-values) for both functions are equal.

In this case, you have provided the following possible input values:

• $x = 0.5$
• $x = 1$
• $x = 1.5$
• $x = 2$

By examining the graph, the correct solution would be where the two curves of $f(x)$ and $g(x)$ intersect at one of these points.

Please upload the graph so I can analyze it and give you a precise answer.

Do you want more details or have any specific questions? Here are 5 related questions:

1. What type of functions are $f(x)$ and $g(x)$ (e.g., linear, quadratic)?
2. Do $f(x)$ and $g(x)$ intersect at multiple points?
3. How do we interpret the behavior of the functions at different intervals?
4. Can the functions have more than one solution for $f(x) = g(x)$?
5. How can we estimate the solution from the graph if it's not exact?

Tip: Always check both the x- and y-coordinates of intersection points when solving graphically.