Find the Domain 4x+2y=0

Problem

4*x+2*y=0

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

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

2*y=−4*x

y=−2*x

3. Analyze the resulting function ƒ(x)=−2*x This is a polynomial function of degree 1.

4. Determine the restrictions on the input variable x Since there are no denominators containing x and no even roots of expressions containing x the function is defined for all real numbers.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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