Find the Domain 4x-2y-8z=-8

Problem

4*x−2*y−8*z=−8

Solution

1. Identify the type of equation. The given equation 4*x−2*y−8*z=−8 is a linear equation in three variables (x y and z.

2. Determine the constraints. In a linear equation of this form, there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers.

3. Define the domain. Since there are no restrictions on the variables, each variable can be any real number.

4. Express the domain in set notation. The domain is the set of all ordered triples (x,y,z) such that each coordinate is a member of the set of real numbers ℝ

Final Answer

Domain={[(x,y,z),x,y,z∈ℝ]}

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