Find the Domain -3x+3y=6

Problem

−3*x+3*y=6

Solution

1. Identify the type of equation provided. The equation −3*x+3*y=6 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

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

−3*x+3*y=6

3*y=3*x+6

y=x+2

3. Analyze the resulting function ƒ(x)=x+2 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-indexed roots of negative numbers.

4. Determine the domain. Since any real number x can be substituted into the equation to produce a valid real number y the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!