Find the Domain and Range of the Inverse of the Given

Multiple Choice

Find the domain and range of the inverse of the given function.
- $$f ( x ) = - \frac { 1 } { x }$$

A) Domain and range: $( - \infty , 0 ) \cup ( 0 , \infty )$
B) Domain and range; all real numbers
C) Domain: all real numbers; range: $( - \infty , 0 ) \cup ( 0 , \infty )$
D) Domain: $( - \infty , 0 ) \cup ( 0 , \infty )$ ; range: all real numbers