To evaluate $g(f(-9))$, we'll follow these steps:

1. Find $f(-9)$ from the first graph (on the left, representing $y = f(x)$).

   • At $x = -9$, we locate the corresponding $y$-value on the graph of $f(x)$. From the graph, it appears that $f(-9) = 9$.

2. Use $f(-9) = 9$ in the second graph (on the right, representing $y = g(x)$).

   • Now, find $g(9)$. At $x = 9$ on the graph of $g(x)$, the corresponding $y$-value is $g(9) = -8$.

Therefore, $g(f(-9)) = g(9) = -8$.

Would you like more details on these steps or have any questions?

Here are 5 related questions to expand on this:

1. How do you interpret composite functions like $g(f(x))$?
2. What is the domain and range of $f(x)$ and $g(x)$?
3. How would you evaluate $g(f(x))$ for other values of $x$?
4. How does the behavior of the graphs change the interpretation of composite functions?
5. How do you use graph symmetry to predict outputs without plotting?

Tip: When working with composite functions, it’s helpful to break them down step-by-step, starting with the innermost function.