I see you've uploaded an image containing a list of mathematical problems involving functions $f(x)$ and $g(x)$. Let me help you solve them step by step.

Question 1:

Given: $f(x) = \frac{5x - 2}{3x} \quad \text{and} \quad g(x) = 2x - 3$ Find $(f + g)(x)$.

Solution:

The sum of two functions is: $(f + g)(x) = f(x) + g(x)$ Substitute the given functions: $(f + g)(x) = \frac{5x - 2}{3x} + (2x - 3)$ Now, we can simplify this expression. Would you like me to continue with the detailed simplification process?

Let me know if you'd like to see the solutions to any of the other problems, and I can guide you through them one by one! Here are 5 related questions based on the first problem:

1. What is the simplified form of $\frac{5x - 2}{3x} + (2x - 3)$?
2. How do you find $(f - g)(x)$ for the same functions?
3. What happens if you multiply $f(x)$ and $g(x)$?
4. What is the process to compute the composition $f(g(x))$?
5. How does the domain of the function $f(x) = \frac{5x - 2}{3x}$ affect its sum with $g(x)$?

Tip: When adding or subtracting functions, remember to find a common denominator if necessary to simplify the result!