Find the Domain 2x(4-x)=8

Problem

2*x*(4−x)=8

Solution

1. Identify the type of expression provided. The expression 2*x*(4−x)=8 is a quadratic equation.

2. Determine the constraints on the variable x In a polynomial equation, there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers.

3. Conclude that the variable x can be any real number because the expression is defined for all real values.

4. Express the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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