Find the Domain x+y=11

Problem

x+y=11

Solution

1. Identify the type of equation. The equation x+y=11 represents a linear function in two variables.

2. Solve for y to express it as a function of x Subtract x from both sides to get y=11−x

3. Analyze the resulting function ƒ(x)=11−x This is a polynomial function of degree 1.

4. Determine any restrictions on the input variable x Since there are no denominators containing x no square roots of negative values, 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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