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

Determine the domain and range of the inverse function $f ^ { - 1 }$ of the following function $f$ .
$f ( x ) = - | x + 8 | - 3$ , where $x > - 8$

A) Domain: $[ - 8 , \infty )$ ; Range: $[ - 3 , \infty )$
B) Domain: $( - \infty , - 3 ]$ ; Range: $[ - 8 , \infty )$
C) Domain: $[ - 8 , - 3 ]$ ; Range: $[ - 8 , \infty )$
D) Domain: $( - \infty , - 8 ]$ ; Range: $[ 3 , \infty )$
E) Domain: $( - \infty , \infty )$ ; Range: $( - \infty , \infty )$

Correct Answer:

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