Find the Domain x+y=3

Problem

x+y=3

Solution

1. Identify the type of equation. The equation x+y=3 represents a linear function in two variables, which can be rewritten in slope-intercept form.

2. Solve for y to express it as a function of x Subtract x from both sides of the equation.

y=−x+3

3. Analyze the resulting function ƒ(x)=−x+3 This is a polynomial function of degree 1. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

4. Determine the domain. Since there are no restrictions on the values that x can take, the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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