Let's solve the given problem step by step.

We are asked to find the value of $g(f(-4))$.

Step 1: Find $f(-4)$

From the graph of $f(x)$ (on the left), we can see that the point where $x = -4$ corresponds to the y-value of $f(x)$. The red line at $x = -4$ reaches $f(-4) = 2$.

So, we have: $f(-4) = 2$

Step 2: Find $g(f(-4)) = g(2)$

Now, we need to find $g(2)$ using the graph of $g(x)$ (on the right). From the graph of $g(x)$, we see that at $x = 2$, the y-value is $g(2) = 4$.

Thus: $g(f(-4)) = g(2) = 4$

Final Answer:

$g(f(-4)) = 4$

Let me know if you need any further details or have any questions!

Here are 5 related questions for further practice:

1. What is the value of $g(f(0))$?
2. Find $g(f(2))$.
3. What is $f(g(2))$?
4. What is the value of $f(-6)$?
5. Find the value of $g(0)$.

Tip: For composite functions, always solve the inner function first before evaluating the outer function.