Find the Domain y=-x^2+4x-9

Problem

y=−x^2+4*x−9

Solution

1. Identify the type of function provided. The expression y=−x^2+4*x−9 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain even roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

3. Conclude that since there are no mathematical constraints on the value of x the function is defined for all real numbers.

4. Express the domain in interval notation or set-builder notation.

Final Answer

Domain: *(−∞,∞)

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