Find the Domain 4x-2y=4

Problem

4*x−2*y=4

Solution

1. Identify the type of equation. The equation 4*x−2*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.

−2*y=−4*x+4

3. Divide both sides by −2 to isolate y

y=2*x−2

4. Analyze the resulting function ƒ(x)=2*x−2 Since this is a polynomial function (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

5. Determine the domain. Because the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain=(−∞,∞)

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