Find the Domain x-y=-6

Problem

x−y=−6

Solution

1. Identify the type of equation. The equation x−y=−6 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form.

y=x+6

3. Analyze the function for restrictions. The expression x+6 is a polynomial. Polynomials are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers.

4. Determine the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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