Find the Domain 6x-3y=18

Problem

6*x−3*y=18

Solution

1. Identify the type of equation provided. This 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, y=ƒ(x)

6*x−3*y=18

−3*y=−6*x+18

y=2*x−6

3. Analyze the resulting function ƒ(x)=2*x−6 This is a polynomial function of degree 1.

4. Determine if there are any restrictions on the input 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 domain of any linear function (that is not a vertical line) is all real numbers.

Final Answer

Domain: *(−∞,∞)

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