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 if there are any restrictions on the input variable x In a linear 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 take any real number value.

Final Answer

Domain: *(−∞,∞)

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