Find the Domain 4x+2y=8

Problem

4*x+2*y=8

Solution

1. Identify the type of equation. The equation 4*x+2*y=8 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the relation as a function.

2*y=−4*x+8

3. Simplify the expression by dividing both sides by 2

y=−2*x+4

4. Determine the restrictions on the input variable x Since the expression −2*x+4 is a polynomial (specifically a linear function), it is defined for all real numbers. There are no denominators that could be zero and no square roots of negative numbers.

5. State the domain in interval notation. The domain is all real numbers.

Domain=(−∞,∞)

Final Answer

Domain of *4*x+2*y=8* is *(−∞,∞)

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