The image contains three functions:

1. $f(x) = \sqrt{x^2 + 2}$
2. $g(x) = (3x + 1)^3$
3. $h(x) = \frac{1}{(x^4 + 3)^2}$

Would you like me to analyze any particular aspect of these functions (e.g., their derivatives, integrals, or domain/range)? Let me know how you'd like to proceed!

Here are some related questions:

1. What is the derivative of $f(x) = \sqrt{x^2 + 2}$?
2. What is the derivative of $g(x) = (3x + 1)^3$?
3. What is the domain of the function $h(x) = \frac{1}{(x^4 + 3)^2}$?
4. How do you find the local maxima or minima of these functions?
5. Can we analyze the concavity of $f(x)$ and $g(x)$?

Tip: To calculate the domain of a function, start by checking if the expression under square roots and in denominators is valid for all real numbers.