Find the Domain 2x(x-2)+1=1-2x

Problem

2*x*(x−2)+1=1−2*x

Solution

1. Identify the type of expression provided. The expression 2*x*(x−2)+1=1−2*x is a polynomial equation.

2. Determine the constraints for the domain. In a polynomial equation, there are no denominators containing variables, no square roots of negative numbers, and no logarithms.

3. Apply the definition of the domain for polynomials. Since there are no restricted operations, the variable x can take any real number value.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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