Find the Domain 3x-2y=12

Problem

3*x−2*y=12

Solution

1. Identify the type of equation provided. The equation 3*x−2*y=12 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.

2*y=3*x−12

y=3/2*x−6

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

4. Determine the constraints on the input variable x Since there are no square roots of negative numbers, no denominators that could equal zero, and no logarithms, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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