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You are asked to evaluate \( f(g(3)) \) using the graphs of functions \( f \) and \( g \).

### Step-by-step process:

1. **Find \( g(3) \) from the graph of \( g \):**
   - Locate \( x = 3 \) on the graph of \( g \).
   - From the graph, at \( x = 3 \), \( g(3) = 2 \) (since the point on the graph corresponding to \( x = 3 \) is \( (3, 2) \)).

2. **Now, find \( f(g(3)) = f(2) \) from the graph of \( f \):**
   - Using \( g(3) = 2 \), now locate \( x = 2 \) on the graph of \( f \).
   - From the graph, at \( x = 2 \), \( f(2) = 5 \) (since the point on the graph corresponding to \( x = 2 \) is \( (2, 5) \)).

Thus, \( f(g(3)) = 5 \).

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

Here are some related questions for further practice:

1. What is \( f(g(1)) \) based on the graphs provided?
2. Find \( f(g(4)) \) using the graphs.
3. What is \( g(f(3)) \) using the graphs?
4. Determine the value of \( g(g(5)) \).
5. What would \( f(f(2)) \) be from the graphs?

**Tip**: For compositions of functions, always work from the innermost function outward!

Evaluate f(g(3)) using the given graphs of f and g.

This problem involves evaluating the composition of two functions using their graphs. It covers the key concepts of reading values from graphs and applying function composition. Suitable for high school students, Grades 9-12.

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