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To evaluate \( g(f(-7)) \), we need to follow these steps:

1. **Find \( f(-7) \)** from the graph of \( f(x) \) (on the left).
2. Use the value of \( f(-7) \) to find \( g(f(-7)) = g(\text{value}) \) using the graph of \( g(x) \) (on the right).

### Step 1: Find \( f(-7) \)
- From the graph of \( f(x) \) on the left, locate \( x = -7 \). 
- The corresponding \( y \)-value at \( x = -7 \) is \( f(-7) = 9 \).

### Step 2: Find \( g(f(-7)) = g(9) \)
- Now, go to the graph of \( g(x) \) (on the right) and locate \( x = 9 \).
- The corresponding \( y \)-value at \( x = 9 \) is \( g(9) = 7 \).

### Final Answer:
Therefore, \( g(f(-7)) = 7 \).

Would you like further details or explanations on any part of the process?

Here are 5 related questions to expand your understanding:
1. What does it mean when we perform a composition of functions like \( g(f(x)) \)?
2. How do you determine the range of \( f(x) \) and \( g(x) \) from their graphs?
3. What are other ways to solve composite functions besides using graphs?
4. How can you determine whether \( f(x) \) or \( g(x) \) is one-to-one or onto by observing the graph?
5. How does the behavior of the graphs affect the values of composite functions?

**Tip:** When working with composite functions, always evaluate the inner function first before moving on to the outer function.

Evaluate g(f(-7)) using the graphs of f(x) and g(x).

Learn how to evaluate g(f(-7)) by interpreting the graphs of f(x) and g(x). This problem involves function composition and is suitable for students in Grades 9-12. Follow a step-by-step approach to find f(-7) and use it to determine g(f(-7)).

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