Find the Domain f(x)=x^3-3x^2-9x+5

Problem

ƒ(x)=x3−3*x2−9*x+5

Solution

1. Identify the type of function. The given expression ƒ(x)=x3−3*x2−9*x+5 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 roots of negative numbers.

3. Determine the interval of x values for which the function is defined. Since there are no restrictions on the input x the domain consists of all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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