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

Problem

x+2*y−4*z=4

Solution

1. Identify the type of equation provided. The equation x+2*y−4*z=4 represents a plane in three-dimensional space ℝ3

2. Determine the constraints on the variables. In a linear equation of the form A*x+B*y+C*z=D there are no square roots, logarithms, or denominators that would restrict the values of x y or z

3. Define the domain. Since any real number can be substituted for x y and z to satisfy the relationship defined by the plane, the domain consists of all ordered triples (x,y,z) in ℝ3

Final Answer

Domain={(x,y,z)∈ℝ3}

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