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 the relation 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.

4. Determine the constraints on the input variable x Since there are no denominators containing x no square roots of negative values, and no logarithms, the function is defined for all real numbers.

5. State the domain in interval notation. The set of all possible x values is (−∞,∞)

Final Answer

Domain:(−∞,∞)

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