Find the Domain 2y+x=12

Problem

2*y+x=12

Solution

1. Identify the type of equation. The equation 2*y+x=12 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation as a function of x

2*y=−x+12

y=−1/2*x+6

3. Determine the restrictions on the input variable x In the linear function y=−1/2*x+6 there are no denominators containing x no square roots of negative numbers, and no logarithms.

4. Conclude the domain. Since the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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