Find the Domain of the Function $f ( x , y , z ) = \frac { 1 } { \sqrt { 3 x + y - z } }$

question 197

Multiple Choice

Find the domain of the function $f ( x , y , z ) = \frac { 1 } { \sqrt { 3 x + y - z } }$ .

• A)All points above \(3 x + y - z = 0\)
• B)All points below \(3 x + y - z = 0\)
• C)All points above \(3 x + y - z = 1\)
• D)All points below \(3 x + y - z = 1\)
• E)All points below \(3 x + y - z = 0\) but not above the plane \(3 x + y - z = 1\)
• F)All points above \(3 x + y - z = 1\) but not above the plane \(3 x + y - z = 0\)
• G)All points below \(3 x + y - z = 1\) or between \(3 x + y - z = 0\) and \(3 x + y - z = 1\)
• H)All points in the \(x y\) -plane

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