Find the Domain -3x-9y=18

Problem

−3*x−9*y=18

Solution

1. Identify the type of equation. The equation −3*x−9*y=18 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation as a function of x

−9*y=3*x+18

y=−3/9*x−18/9

y=−1/3*x−2

3. Determine the restrictions on the input variable x In the linear function ƒ(x)=−1/3*x−2 there are no denominators containing x no square roots of negative numbers, and no logarithms.

4. Conclude that the function is defined for all real numbers. The domain of any non-vertical linear function is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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