Find the Domain f(x)=4x^3-7x^2+8x-9

Problem

ƒ(x)=4*x3−7*x2+8*x−9

Solution

1. Identify the type of function. The given expression ƒ(x)=4*x3−7*x2+8*x−9 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 constraints. Since there are no values of x that would make the expression undefined, 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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