Determine the Continuity of the Function $$f ( x , y , z ) = \frac { 5 z } { x ^ { 2 } + y ^ { 2 } - 3 }$$

Multiple Choice

Determine the continuity of the function $$f ( x , y , z ) = \frac { 5 z } { x ^ { 2 } + y ^ { 2 } - 3 }$$

A) continuous except at $( 0,0 )$
B) continuous for $x ^ { 2 } + y ^ { 2 } = 3$
C) continuous except at $( 5,0 )$
D) continuous except at $( 0,3 )$
E) continuous for $x ^ { 2 } + y ^ { 2 } \neq 3$