The problem in your image provides two functions:

• $f(x) = x - 3$
• $g(x) = x^2 - x$

You are asked to find and simplify the expression $(f + g)(6)$.

Step-by-Step Solution:

1. The expression $(f + g)(6)$ means we need to evaluate the sum of the two functions $f(x)$ and $g(x)$ at $x = 6$.

2. First, calculate $f(6)$: $f(6) = 6 - 3 = 3$

3. Next, calculate $g(6)$: $g(6) = 6^2 - 6 = 36 - 6 = 30$

4. Now, sum the values of $f(6)$ and $g(6)$: $(f + g)(6) = f(6) + g(6) = 3 + 30 = 33$

So, the simplified expression is: $(f + g)(6) = 33$

Would you like any further details or clarifications?

Here are five related questions for further practice:

1. What is $(f + g)(x)$ in general form?
2. What is $(f - g)(6)$?
3. How do you evaluate $(f \times g)(6)$?
4. What is the derivative of $f(x)$ and $g(x)$?
5. Can you compute $f(g(6))$ and $g(f(6))$?

Tip: Always apply the functions step by step, especially when dealing with compositions or sums, to avoid calculation mistakes!