https://file.aiquickdraw.com/mathbot/file/1726783416466iovdauhp.jpg

Let's analyze the graphs and solve the problem.

You have two graphs, \( y = f(x) \) and \( y = g(x) \), and you are asked to find:

(a) \( (f + g)(4) \)  
(b) \( (f - g)(3) \)

### Step 1: Determine \( f(x) \) and \( g(x) \) values at specific points.

#### Graph of \( f(x) \):
- \( f(4) \): The value of \( f(x) \) when \( x = 4 \) is 0 (as the point on the graph of \( f(x) \) at \( x = 4 \) is \( y = 0 \)).

- \( f(3) \): The value of \( f(x) \) when \( x = 3 \) is also 0 (as the point at \( x = 3 \) is \( y = 0 \)).

#### Graph of \( g(x) \):
- \( g(4) \): The value of \( g(x) \) when \( x = 4 \) is 2 (as the point on the graph of \( g(x) \) at \( x = 4 \) is \( y = 2 \)).

- \( g(3) \): The value of \( g(x) \) when \( x = 3 \) is 1 (as the point at \( x = 3 \) is \( y = 1 \)).

### Step 2: Perform the operations.

(a) \( (f + g)(4) = f(4) + g(4) = 0 + 2 = 2 \)

(b) \( (f - g)(3) = f(3) - g(3) = 0 - 1 = -1 \)

### Final Answers:
- (a) \( (f + g)(4) = 2 \)
- (b) \( (f - g)(3) = -1 \)

Would you like more details on this process or have any further questions?

Here are five related questions:
1. How do you find the value of a function from a graph at a specific point?
2. What is the general method to add or subtract two functions?
3. What is the domain of the functions \( f(x) \) and \( g(x) \) based on their graphs?
4. How do piecewise functions impact operations like addition and subtraction?
5. Can you calculate the value of \( (f \times g)(4) \) based on the graphs?

**Tip:** When reading values from a graph, ensure that you carefully track the \( x \)-axis and \( y \)-axis intersections to avoid errors in determining the function values.

Use the graphs of y = f(x) and y = g(x) above to find the function values.

Learn how to find the values of functions using graphs. This problem involves addition and subtraction of functions based on their graphical representation. Suitable for students in Grades 9-10.

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