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.
- $$f ( x ) = \frac { 8 } { x ^ { 2 } + 1 } , x \geq 0$$

A) Domain: $( - \infty , 0 \}$ ; range: $[ - 8,0 )$
B) Domain: $[ 0 , \infty )$ ; range: $( 0,8 ]$
C) Domain: $( 0,8 ]$ ; range: $[ 0 , \infty )$
D) Domain and range: $[ 0 , \infty )$