Find the Domain 8x-4y=24

Problem

8*x−4*y=24

Solution

1. Identify the type of equation. The equation 8*x−4*y=24 is a linear equation in two variables.

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

−4*y=−8*x+24

3. Divide both sides by −4 to isolate y

y=2*x−6

4. Analyze the resulting function. The function ƒ(x)=2*x−6 is a polynomial function (specifically, a linear function).

5. Determine the domain. Polynomial functions are defined for all real numbers because there are no denominators containing x and no even roots of negative expressions.

6. Express the domain in interval notation. Since x can be any real number, the domain is (−∞,∞)

Final Answer

Domain of *8*x−4*y=24* is *(−∞,∞)

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