You have two functions:

$f(x) = 3x^2 - 2x + 1$ $g(x) = 4x^2 + 5x - 4$

Let me know what specific operation or analysis you would like to perform with these functions, such as addition, subtraction, composition, or finding their intersection points, among others.

Would you like any specific calculations or details?

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Here are 8 related questions you might consider:

1. What is $f(x) + g(x)$?
2. What is $f(x) - g(x)$?
3. What is the composition $(f \circ g)(x)$?
4. What is the composition $(g \circ f)(x)$?
5. Where do the graphs of $f(x)$ and $g(x)$ intersect?
6. What are the roots of $f(x) = 0$ and $g(x) = 0$?
7. How does the graph of $f(x)$ compare to the graph of $g(x)$?
8. What is the derivative of each function, $f'(x)$ and $g'(x)$?

Tip: When analyzing functions, considering their derivatives can provide insights into their rates of change and the nature of their critical points (maxima, minima, inflection points).