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To solve \( g(f(-1)) \), we first need to determine the values of \( f(-1) \) and then substitute that value into \( g(x) \).

### Step-by-step solution:

1. **Find \( f(-1) \):**
   - From the graph, look at the curve for \( y = f(x) \) and locate \( x = -1 \).
   - At \( x = -1 \), the value of \( f(-1) \) is \( 6 \), because the curve passes through the point \( (-1, 6) \).

2. **Find \( g(f(-1)) = g(6) \):**
   - Now we need to find \( g(6) \).
   - From the graph, look at the curve for \( y = g(x) \) and locate \( x = 6 \).
   - At \( x = 6 \), the value of \( g(6) \) is \( -2 \), because the curve passes through the point \( (6, -2) \).

Therefore, \( g(f(-1)) = g(6) = -2 \).

### Final Answer:
\[
g(f(-1)) = -2
\]

Let me know if you'd like more details or have any questions!

Here are 5 related questions:
1. How do you find the composite function \( g(f(x)) \) for other values of \( x \)?
2. What is the general process for reading function values from a graph?
3. How can you determine if a graph represents a one-to-one function?
4. What is the domain and range of each function from the graph?
5. How do transformations (shifts, stretches) affect the shape of \( f(x) \) or \( g(x) \)?

**Tip:** When reading a graph, ensure you pay attention to the labeling of the axes and the curve's behavior at specific points to avoid errors.

Find g(f(-1)) from the given graph of y = f(x) and y = g(x).

Learn how to solve the composite function g(f(-1)) by reading the values of f(x) and g(x) from a graph. This problem involves composite functions and graph reading, suitable for students in Grades 9-12.

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