To evaluate $g(f(-5))$, we need to follow these steps:

1. Find $f(-5)$ from the $y = f(x)$ graph.

   • At $x = -5$, the graph shows that $f(-5) = -8$.

2. Use the result from step 1 to find $g(-8)$ from the $y = g(x)$ graph.

   • At $x = -8$, the $y = g(x)$ graph shows that $g(-8) = 4$.

Thus, $g(f(-5)) = 4$.

Would you like more details or have any questions about this solution?

Here are some related questions for further exploration:

1. How do you evaluate $f(g(-3))$ using the graphs?
2. What happens to the composition $g(f(x))$ when $x = 0$?
3. How do you determine the range of $g(f(x))$ over the interval $-10 \leq x \leq 10$?
4. How do you find $g(f(2))$ using the graphs?
5. What is the inverse of the function $f$ or $g$, if they exist?

Tip: When evaluating composite functions like $g(f(x))$, always start with the inner function.