Find the Domain v=(x-y)/z

Problem

v=(x−y)/z

Solution

1. Identify the type of function. The expression is a rational function involving three variables: x y and z

2. Determine the restriction for a fraction. A fraction is defined for all real numbers except where the denominator is equal to zero.

3. Set the denominator to be non-zero. In this expression, the denominator is z

4. State the condition for the domain. The function is defined for all ordered triples (x,y,z) such that z≠0

Final Answer

Domain={[(x,y,z)∈ℝ3,z≠0]}

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