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

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