Find the Domain x-3y=3

Problem

x−3*y=3

Solution

1. Identify the type of equation. The equation x−3*y=3 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 equation as a function.

−3*y=−x+3

y=1/3*x−1

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

4. Determine the restrictions. Since there are no denominators containing x and no even roots, the variable x can take any real value.

5. State the domain in interval notation. The domain of any non-vertical linear function is all real numbers.

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!