You've provided the function $f(x) = 3x^2 - 4x + 5$.

Would you like help with a specific aspect of this function, such as its derivative, integral, vertex, or something else? Let me know how I can assist you!

Here are some related questions you might find interesting:

1. What is the derivative of $f(x)$?
2. What is the integral of $f(x)$?
3. What is the vertex of the parabola represented by $f(x)$?
4. How can you find the roots of the equation $3x^2 - 4x + 5 = 0$?
5. What is the behavior of $f(x)$ as $x \to \infty$?

Tip: If you're looking to analyze the function further, you can start by plotting it to visualize its shape!