To simplify the given function \( f(x) = x^3 - 6x + 9x - 4 \), we first combine like terms.

\[
f(x) = x^3 - 6x + 9x - 4
\]

Combine the \( -6x \) and \( 9x \):

\[
f(x) = x^3 + 3x - 4
\]

So, the simplified function is:

\[
f(x) = x^3 + 3x - 4
\]

Would you like more details or have any questions about this function? Here are five questions you might find interesting to ask:

1. How do I find the roots of the function \( f(x) = x^3 + 3x - 4 \)?
2. How do I determine the critical points of the function \( f(x) = x^3 + 3x - 4 \)?
3. Can you explain how to find the inflection points of the function \( f(x) = x^3 + 3x - 4 \)?
4. How do I sketch the graph of the function \( f(x) = x^3 + 3x - 4 \)?
5. How do I find the derivative of the function \( f(x) = x^3 + 3x - 4 \)?

**Tip:** When simplifying algebraic expressions, always combine like terms to reduce the expression to its simplest form.

Learn how to simplify the polynomial function x³ + 3x - 4 with a step-by-step solution. This problem involves algebraic manipulation, specifically simplifying polynomials by combining like terms. Suitable for high school students.

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