Find the Domain -2x+y=4

Problem

−2*x+y=4

Solution

1. Identify the type of equation. The equation −2*x+y=4 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. Adding 2*x to both sides gives y=2*x+4

3. Determine the restrictions on the input variable x In the function ƒ(x)=2*x+4 there are no denominators, square roots of negative numbers, or logarithms.

4. Conclude the domain. Since the expression is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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