Find the Domain 0.05x+1y+5z-100=0

Problem

0.05*x+1*y+5*z−100=0

Solution

1. Identify the type of equation. This is a linear equation in three variables (x y and z, which represents a plane in three-dimensional space.

2. Determine if there are any restrictions on the variables. The expression consists of polynomial terms (multiplication and addition).

3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers. None of these operations are present in this linear equation.

4. Conclude that the variables x y and z can take any real number value. In the context of a function where one variable depends on the others (e.g., z=ƒ(x,y), the domain is the set of all possible ordered pairs (x,y)

Final Answer

Domain={(x,y,z)∈ℝ3}

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