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To evaluate \( g(f(-9)) \), we'll follow these steps:

1. **Find \( f(-9) \) from the first graph** (on the left, representing \( y = f(x) \)).
   - At \( x = -9 \), we locate the corresponding \( y \)-value on the graph of \( f(x) \). From the graph, it appears that \( f(-9) = 9 \).

2. **Use \( f(-9) = 9 \) in the second graph** (on the right, representing \( y = g(x) \)).
   - Now, find \( g(9) \). At \( x = 9 \) on the graph of \( g(x) \), the corresponding \( y \)-value is \( g(9) = -8 \).

Therefore, \( g(f(-9)) = g(9) = -8 \).

Would you like more details on these steps or have any questions?

Here are 5 related questions to expand on this:
1. How do you interpret composite functions like \( g(f(x)) \)?
2. What is the domain and range of \( f(x) \) and \( g(x) \)?
3. How would you evaluate \( g(f(x)) \) for other values of \( x \)?
4. How does the behavior of the graphs change the interpretation of composite functions?
5. How do you use graph symmetry to predict outputs without plotting?

**Tip:** When working with composite functions, it’s helpful to break them down step-by-step, starting with the innermost function.

Evaluate g(f(-9)) using the provided graphs for f(x) and g(x).

Learn how to evaluate the composite function g(f(-9)) by interpreting the graphs of f(x) and g(x). The solution demonstrates key concepts in graph reading and function composition, making it suitable for students in Grades 8-10.

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