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