Find the Domain x+y=2

Problem

x+y=2

Solution

1. Identify the type of equation. The equation x+y=2 represents a linear function in two variables, which geometrically forms a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the relation as a function. Subtract x from both sides.

y=2−x

3. Analyze the resulting function ƒ(x)=2−x This is a polynomial function of degree 1. Polynomials 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 set of all possible input values for x Since any real number can be substituted for x to produce a real value for y the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!