Find the Domain 2y-12x=4

Problem

2*y−12*x=4

Solution

1. Identify the type of equation. The given equation 2*y−12*x=4 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form.

2*y=12*x+4

y=6*x+2

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

4. Determine the constraints 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 set of all real numbers is represented as (−∞,∞)

Final Answer

Domain=(−∞,∞)

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