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The correct option for \((f * g)(x)\) is:

\[
9x^3 - 6x^2 - 3x + 2
\]

This corresponds to option **d)**.

Would you like any further explanation or have additional questions? 

Here are five related questions you might find useful:
1. How do we multiply polynomials like \(f(x)\) and \(g(x)\)?
2. What does it mean to expand a product of functions?
3. How can you check if two polynomials are equal?
4. What are the common errors to avoid when multiplying polynomials?
5. How would the solution change if \(g(x)\) had a different form?

**Tip:** Always double-check the sign of each term during polynomial multiplication to avoid small mistakes.

Escoja la opción correcta: (f * g)(x) es igual a _________ si f(x) = 3x^2 - 1 y g(x) = 3x - 2

Learn how to multiply the polynomials f(x) = 3x^2 - 1 and g(x) = 3x - 2. This problem covers key algebraic concepts such as polynomial multiplication. Suitable for students in Grades 9-12.

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