To evaluate $g(f(-9))$, let's start by finding $f(-9)$ using the graph of $y = f(x)$:

1. On the graph of $y = f(x)$, locate $x = -9$.
2. From the graph, the point $(-9, f(-9))$ corresponds to $y = 3$. So, $f(-9) = 3$.

Next, we find $g(3)$ using the graph of $y = g(x)$:

1. On the graph of $y = g(x)$, locate $x = 3$.
2. From the graph, the point $(3, g(3))$ corresponds to $y = -4$. So, $g(3) = -4$.

Therefore, $g(f(-9)) = g(3) = -4$.

Would you like any more details on this process, or do you have any other questions?

Here are some related questions you might consider:

1. What is the domain and range of the function $f(x)$?
2. What is the domain and range of the function $g(x)$?
3. How would you evaluate $f(g(0))$?
4. Can you determine the intersection points of the graphs of $f$ and $g$?
5. What are the x-intercepts and y-intercepts for each function?

Tip: When evaluating composite functions from graphs, always ensure you read the graph accurately and confirm your initial findings to avoid simple mistakes.