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Use the graphs of f(x) and g(x) to evaluate each of the following.

( f + g )(12) =

To evaluate \((f + g)(12)\) using the graphs provided:

1. **Find \(f(12)\)**: From the graph of \(f(x)\), locate the value of \(f(x)\) when \(x = 12\).
2. **Find \(g(12)\)**: Similarly, from the graph of \(g(x)\), find the value of \(g(x)\) when \(x = 12\).
3. **Add the values**: Finally, add \(f(12)\) and \(g(12)\) to get \((f + g)(12)\).

### Step-by-Step Solution:

1. **\(f(12)\)**:
   - From the graph of \(f(x)\), at \(x = 12\), the value of \(f(x)\) is \(3\).
  
2. **\(g(12)\)**:
   - From the graph of \(g(x)\), at \(x = 12\), the value of \(g(x)\) is \(6\).
  
3. **Calculate \((f + g)(12)\)**:
   \[
   (f + g)(12) = f(12) + g(12) = 3 + 6 = 9
   \]

Thus, \((f + g)(12) = 9\).

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. What is \((f - g)(12)\)?
2. How would you find \((f \times g)(12)\)?
3. What are the values of \(f(7)\) and \(g(7)\)?
4. How do you find the point of intersection of \(f(x)\) and \(g(x)\)?
5. What is the domain and range of \(f(x)\) and \(g(x)\)?

**Tip:** When working with functions graphically, always ensure you accurately read the values from the graph, paying close attention to the scales on the axes.

Learn how to evaluate (f + g)(12) using the graphs of functions f(x) and g(x). This problem involves finding specific values from the graphs and adding them together. Suitable for students in Grades 9-12 studying functions and graphs.

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