Find the Domain x+y=5

Problem

x+y=5

Solution

1. Identify the type of equation. The equation x+y=5 represents a linear function in two variables, which can be rewritten in slope-intercept form.

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

y=−x+5

3. Analyze the expression for restrictions. The expression −x+5 is a polynomial. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

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

Final Answer

Domain: *(−∞,∞)

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