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.