https://file.aiquickdraw.com/mathbot/file/1728597295972krro0f3h.jpg

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.

Use the graphs to evaluate the expressions.

Learn how to evaluate composite functions using graphs. This problem covers interpreting f(x) and g(x) from their graphs and solving composite functions like f(g(2)) and g(f(0)). Suitable for students in Grades 9-12.

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