Find the Domain 3x-y=12

Problem

3*x−y=12

Solution

1. Identify the type of equation provided. The equation 3*x−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.

y=3*x−12

3. Analyze the resulting function ƒ(x)=3*x−12 This is a polynomial function of degree 1.

4. Determine the restrictions on the input variable 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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