Find the Domain 4x-y=-12

Problem

4*x−y=−12

Solution

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

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

y=4*x+12

3. Analyze the function for restrictions. A linear function is a polynomial of degree 1. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

4. Determine the domain. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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