The image shows a list of mathematical functions:

5. $f(x) = \frac{4x^2 + 5}{2}$
6. $f(x) = \frac{x + 1}{x - 1}$
7. $f(x) = \frac{2}{1 + x^2}$
8. $f(x) = \sqrt{2x + 1}$
9. $f(x) = \sqrt{3x^2 + 2}$
10. $f(x) = \sqrt[3]{(x + 1)^2}$

Would you like to solve or analyze one of these functions in detail (such as finding derivatives, integrals, or solving for specific values)? Let me know how you'd like to proceed.

Here are 5 related questions you may find useful:

1. What is the derivative of function $f(x) = \frac{4x^2 + 5}{2}$?
2. How do you find the domain of $f(x) = \frac{x + 1}{x - 1}$?
3. Can you calculate the integral of $f(x) = \frac{2}{1 + x^2}$?
4. What is the range of $f(x) = \sqrt{2x + 1}$?
5. How do you determine the critical points of $f(x) = \sqrt{3x^2 + 2}$?

Tip: When working with square roots and rational functions, it's important to first consider the domain restrictions (e.g., values of $x$ that make the expression undefined).