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

question 19

Multiple Choice

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: \(( - \infty , \infty )\)

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