Find the Domain (2-x)^2

Problem

ƒ(x)=(2−x)^2

Solution

1. Identify the type of function. The expression (2−x)^2 is a polynomial function (specifically a quadratic).

2. Analyze the expression for restrictions. Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the set of all possible input values. Since any real number can be subtracted from 2 and then squared, there are no restrictions on x

4. State the domain in interval notation. The domain of any polynomial function is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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