Find the Domain x-3y=6

Problem

x−3*y=6

Solution

1. Identify the type of equation. The equation 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 equation as a function.

−3*y=−x+6

y=1/3*x−2

3. Analyze the resulting function ƒ(x)=1/3*x−2 This is a polynomial function of degree 1.

4. Determine any restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the function is defined for all real numbers.

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

Final Answer

Domain:(−∞,∞)

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