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

Question

Quizplus · Accepted Answer

The function $f(x) = -\frac{1}{x}$ is defined for all real numbers except 0, and its output also covers all real numbers except 0. The inverse function will have the same domain and range because the relationship between $x$ and $y$ is symmetric in this case.

Find the Domain and Range of the Inverse of the Given