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.
- $$f ( x ) = 5 - x ^ { 2 } ; x \geq 0$$

A) Domain: $( - \infty , 5 ]$ ; range: range: $[ 0 , \infty )$
B) Domain: all real numbers; range: $[ - 5 , \infty )$
C) Domain and range: all real numbers
D) Domain: all real numbers; range: $( - \infty , 5 ]$