Find the Domain x+2y=1

Problem

x+2*y=1

Solution

1. Identify the type of equation. The equation x+2*y=1 represents a linear function in two variables.

2. Solve for y to express it as a function of x Subtract x from both sides and divide by 2

2*y=1−x

y=−1/2*x+1/2

3. Analyze the resulting function for restrictions. Since y is a polynomial (specifically a linear function), there are no denominators containing x that could be zero and no square roots of negative numbers.

4. Determine the domain. Because there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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