Find the Domain 6x-3y=12

Problem

6*x−3*y=12

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 to express the equation in slope-intercept form.

6*x−3*y=12

−3*y=−6*x+12

y=2*x−4

3. Analyze the resulting function ƒ(x)=2*x−4 Since this is a polynomial function (specifically a linear function), there are no values of x that would cause division by zero or result in the square root of a negative number.

4. Determine the domain. Because there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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