Find the Domain 3x+y=0

Problem

3*x+y=0

Solution

1. Identify the type of equation. The equation 3*x+y=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 express the equation as a function.

y=−3*x

3. Determine the restrictions on the input variable x In the expression −3*x there are no denominators that could be zero and no square roots of negative numbers.

4. Conclude that the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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