https://file.aiquickdraw.com/mathbot/file/17267005107071sqobxgo.jpg

From the image provided, you are being asked to compute \( f(-1) + g(-1) \) using the graphs of the functions \( f(x) \) and \( g(x) \).

Here’s the process:

1. **Identify \( f(-1) \) from the graph**: 
   - Look at the graph of \( f(x) \), the purple line. At \( x = -1 \), trace upwards (or downwards) until you hit the curve. The corresponding \( y \)-value is \( f(-1) \).
   - It appears that at \( x = -1 \), \( f(x) \) reaches 2.

2. **Identify \( g(-1) \) from the graph**: 
   - Now, look at the graph of \( g(x) \), the blue line. Similarly, at \( x = -1 \), trace up or down to the curve and find the corresponding \( y \)-value.
   - It looks like at \( x = -1 \), \( g(x) \) is 3.

3. **Sum the results**: 
   \[
   f(-1) + g(-1) = 2 + 3 = 5
   \]

Thus, \( f(-1) + g(-1) = 5 \).

Would you like further details on how I traced the values, or do you have any other questions?

### Related Questions:
1. What would \( f(0) + g(0) \) be using the same graphs?
2. How can you determine the value of \( f(x) \) when \( x = 2 \)?
3. What is the difference between \( f(1) \) and \( g(1) \)?
4. Can you find the roots of \( g(x) \) from the graph?
5. How do you identify maximum or minimum points of \( f(x) \) from the graph?

### Tip:
When analyzing graphs, always focus on the points of interest (like \( x = -1 \)) and trace vertically to find corresponding \( y \)-values, which represent the function's output at that input.

Use the graphs of f and g to find f(-1) + g(-1).

Learn how to solve f(-1) + g(-1) using the graphs of two functions, f(x) and g(x). In this example, at x = -1, f(x) is 2, and g(x) is 3. The solution adds these values to get 5. Suitable for students in Grades 8-10.

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