Let's evaluate the expressions one by one using the given graphs for $f(x)$ and $g(x)$.

1. $f(g(2))$:

• First, find $g(2)$ from the graph of $g(x)$. From the graph, $g(2) = 1$.
• Next, substitute $g(2) = 1$ into $f(x)$. From the graph of $f(x)$, $f(1) = 5$.
• Therefore, $f(g(2)) = 5$.

2. $g(f(0))$:

• First, find $f(0)$ from the graph of $f(x)$. From the graph, $f(0) = 3$.
• Next, substitute $f(0) = 3$ into $g(x)$. From the graph of $g(x)$, $g(3) = 2$.
• Therefore, $g(f(0)) = 2$.

3. $f(f(1))$:

• First, find $f(1)$ from the graph of $f(x)$. From the graph, $f(1) = 5$.
• Next, substitute $f(1) = 5$ into $f(x)$. From the graph of $f(x)$, $f(5) = 0$.
• Therefore, $f(f(1)) = 0$.

4. $g(g(3))$:

• First, find $g(3)$ from the graph of $g(x)$. From the graph, $g(3) = 2$.
• Next, substitute $g(3) = 2$ into $g(x)$. From the graph of $g(x)$, $g(2) = 1$.
• Therefore, $g(g(3)) = 1$.

Final answers:

• $f(g(2)) = 5$
• $g(f(0)) = 2$
• $f(f(1)) = 0$
• $g(g(3)) = 1$

Let me know if you need further explanation or details! Here are 5 related questions for practice:

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

Tip: For composite functions, always work from the innermost function outward.