Find the Domain x^2+3x-2

Problem

x2+3*x−2

Solution

1. Identify the type of function provided. The expression x2+3*x−2 is a polynomial function.

2. Analyze the constraints for the domain. Polynomials do not contain variables in denominators or under even-indexed radicals.

3. Determine the values for which the expression is defined. Since there are no division by zero or square roots of negative numbers to avoid, the function is defined for 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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