Find the Domain 2x+y=0

Problem

2*x+y=0

Solution

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

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

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 no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The domain of any linear function is all real numbers.

Final Answer

Domain:(−∞,∞)

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