Find the Domain x+y=0

Problem

x+y=0

Solution

1. Identify the type of equation. The equation x+y=0 represents a linear relationship between two variables, x and y

2. Solve for y in terms of x to express the equation as a function.

y=−x

3. Analyze the resulting function ƒ(x)=−x This is a polynomial function of degree 1.

4. Determine if there are any restrictions on the input variable x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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