Find the Domain (x+y)=6

Problem

x+y=6

Solution

1. Identify the type of equation. The equation x+y=6 represents a linear function in two variables, which can be rewritten in slope-intercept form as y=−x+6

2. Determine any restrictions on the variables. In a linear equation of this form, there are no denominators containing variables, no square roots of negative numbers, and no logarithms.

3. Conclude the domain. Since there are no mathematical restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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