Find the Domain -2x^2+2x-3

Problem

−2*x2+2*x−3

Solution

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

2. Determine if there are any restrictions on the variable x Polynomials do not contain division by zero, square roots of negative numbers, or logarithms.

3. Conclude that since there are no mathematical operations that restrict the input, the function is defined for all real numbers.

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

Final Answer

Domain: *(−∞,∞)

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