Find the Domain 2z+y=-3

Problem

2*z+y=−3

Solution

1. Identify the type of equation provided. The equation 2*z+y=−3 represents a linear relationship between two variables, y and z In a 2D coordinate system, this is a line.

2. Determine the constraints on the variables. For any linear equation of the form A*z+B*y=C there are no square roots of negative numbers, no denominators that could be zero, and no logarithms of non-positive numbers.

3. Define the domain. Since there are no restrictions on the input variable z the domain consists of all real numbers.

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

Final Answer

Domain: *(−∞,∞)

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