Find the Domain x+2y+4=0

Problem

x+2*y+4=0

Solution

1. Identify the type of equation. The equation x+2*y+4=0 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 determine if there are any restrictions on the input values.

2*y=−x−4

y=−1/2*x−2

3. Analyze the resulting function. The expression −1/2*x−2 is a polynomial (specifically a linear function). Polynomials are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers.

4. Determine the domain. Since any real number can be substituted for x to produce a valid real number for y the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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