The function in the image is:

$f(x) = \frac{2x - 1}{3x + 1}$

Would you like me to solve for any particular property of this function (like its domain, range, or derivative), or perform some other analysis? Let me know!

Here are some potential follow-up questions you might be interested in:

1. What is the domain of $f(x)$?
2. How do you find the derivative $f'(x)$ of this rational function?
3. What is the asymptote behavior of this function?
4. How do you determine critical points or maximum/minimum values of $f(x)$?
5. How do you find the inverse of this function?

Tip: When dealing with rational functions, always check for values that make the denominator zero, as they are usually not included in the domain.