Determine the Domain and Range of the Inverse Function $f ^ { - 1 }$

Multiple Choice

Determine the domain and range of the inverse function $f ^ { - 1 }$ of the following function $f$ $f ( x ) = - | x + 7 | - 1$ , where $x > - 7$

A) Domain: $[ - 7 , \infty )$ ; Range: $[ - 1 , \infty )$
B) Domain: $( - \infty , - 1 ]$ ; Range: $[ - 7 , \infty )$
C) Domain: $[ - 7 , - 1 ]$ ; Range: $[ - 7 , \infty )$
D) Domain: $( - \infty , - 7 ]$ ; Range: $[ 1 , \infty )$
E) Domain: $( - \infty , \infty )$ ; Range: $( - \infty , \infty )$