To find $(f \circ g)(-3)$, we need to evaluate the composite function $f(g(-3))$. Here’s the step-by-step process using the graphs:

1. Find $g(-3)$:

   • Locate $x = -3$ on the x-axis and find the corresponding point on the red graph, which represents $g(x)$.
   • From the graph, it appears that $g(-3) = 3$.

2. Find $f(g(-3)) = f(3)$:

   • Now, locate $x = 3$ on the x-axis and find the corresponding point on the blue graph, which represents $f(x)$.
   • From the graph, it appears that $f(3) = 1$.

Thus, $(f \circ g)(-3) = 1$.

Would you like further details, or do you have any questions?

Here are five related questions for further exploration:

1. What is the meaning of a composite function in general terms?
2. How would the result change if we were to calculate $(g \circ f)(-3)$ instead?
3. What is the domain of the composite function $(f \circ g)(x)$?
4. How can we algebraically represent the composition of two functions?
5. What happens to the composite function $(f \circ g)(x)$ if the graphs of $f$ and $g$ are shifted?

Tip: When working with composite functions, always start from the innermost function and work outward.