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.
- $$f ( x ) = \sqrt { x - 2 }$$

A) Domain: $[ 0 , \infty )$ ; range: $[ 2 , \infty )$
B) Domain and range: all real numbers
C) Domain: $[ 2 , \infty )$ ; range: $[ 0 , \infty )$
D) Domain: all real numbers; range: $[ 2 , \infty )$