Find the Domain 3x-6y=18

Problem

3*x−6*y=18

Solution

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

3*x−6*y=18

−6*y=−3*x+18

y=1/2*x−3

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

4. Determine the restrictions. Since there are no denominators containing x and no even roots, the function is defined for all real numbers.

5. State the domain in interval notation.

Final Answer

Domain: *(−∞,∞)

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