Find the Domain x-3y=0

Problem

x−3*y=0

Solution

1. Identify the type of equation. The equation x−3*y=0 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.

x=3*y

−3*y=−x

y=1/3*x

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

4. Determine the 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 of *x−3*y=0* is *(−∞,∞)

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