Find the Domain FR^3-R^2

Problem

ƒ(x)=x3−x2

Solution

1. Identify the type of function provided. The expression x3−x2 is a polynomial function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain denominators that could be zero or square roots of negative numbers.

3. Conclude that the function is defined for all real numbers because there are no values of x that result in an undefined expression.

4. Express the domain in interval notation or as a set of all real numbers.

Final Answer

Domain=(−∞,∞)

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