Find the Domain f(x)=x^3-7x^2-9x+6^3

Problem

ƒ(x)=x3−7*x2−9*x+6

Solution

1. Identify the type of function. The given expression ƒ(x)=x3−7*x2−9*x+216 is a polynomial function.

2. Recall the properties of polynomial functions. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. Determine the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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