Find the Domain 4x^3-12x+9=0

Problem

4*x3−12*x+9=0

Solution

1. Identify the type of expression given in the equation. The expression 4*x3−12*x+9 is a polynomial.

2. Recall the definition of the domain for a polynomial function. A polynomial is defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

3. Determine the set of all possible input values for x Since there are no restrictions on the variable x in a cubic polynomial, the domain is all real numbers.

4. Express the domain using interval notation or the set of real numbers symbol.

Final Answer

Domain: *(−∞,∞)

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