Find the Domain x+2y=4

Problem

x+2*y=4

Solution

1. Identify the type of equation provided. This 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 equation as a function ƒ(x)

2*y=−x+4

y=−1/2*x+2

3. Analyze the resulting function for any restrictions. Since y=−1/2*x+2 is a polynomial (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.

4. Determine the domain based on the lack of restrictions. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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