Let's go through the given expressions step by step by reading the values from the graphs for $f(x)$ and $g(x)$.

1. $f(g(5))$

• First, find $g(5)$ from the graph of $g(x)$. The value of $g(5)$ is 1.
• Now, use $f(x)$ to find $f(1)$. From the graph of $f(x)$, the value of $f(1)$ is 0.
• Thus, $f(g(5)) = 0$.

2. $g(f(3))$

• First, find $f(3)$ from the graph of $f(x)$. The value of $f(3)$ is 5.
• Now, use $g(x)$ to find $g(5)$. From the graph of $g(x)$, the value of $g(5)$ is 1.
• Thus, $g(f(3)) = 1$.

3. $f(f(0))$

• First, find $f(0)$ from the graph of $f(x)$. The value of $f(0)$ is 3.
• Now, use $f(x)$ to find $f(3)$. From the graph of $f(x)$, the value of $f(3)$ is 5.
• Thus, $f(f(0)) = 5$.

4. $g(g(4))$

• First, find $g(4)$ from the graph of $g(x)$. The value of $g(4)$ is 0.
• Now, use $g(x)$ to find $g(0)$. From the graph of $g(x)$, the value of $g(0)$ is 3.
• Thus, $g(g(4)) = 3$.

Final answers:

1. $f(g(5)) = 0$
2. $g(f(3)) = 1$
3. $f(f(0)) = 5$
4. $g(g(4)) = 3$

Let me know if you'd like more details on these steps or have any other questions!

Here are 5 related questions:

1. What is $f(f(5))$?
2. Find $g(g(3))$.
3. What is $f(g(1))$?
4. Calculate $g(f(0))$.
5. What is $f(g(2))$?

Tip: When solving composite functions, always evaluate the inner function first!