For the Given Function, Find the Domain and Range of Both

Multiple Choice

For the given function, find the domain and range of both f(x) and ${ f } ^ { - 1 } ( \mathrm { x } ) .$
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A) $\begin{array} { l } \mathrm { f } : \quad \text { domain: } \{ x \mid x \geq - 4 \} \\~~~~\text { range: } \{ \mathrm { y } \mid \mathrm { y } \geq 0 \} \\\mathrm { f } ^ { - 1 } : \text { domain: } \{ x \mid \mathrm { x } \geq - 4 \} \\~~~~\text { range: } \{ \mathrm { y } \mid \mathrm { y } \geq 0 \}\end{array}$
B) f: domain: $\{ x \mid x \geq - 4 \}$
$~~~~$ range: $\{ y \mid y \geq 0 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ \mathrm { x } \mid \mathrm { x } \geq 0 \}$
$~~~~$ range: $\{ y \mid y \geq - 4 \}$
C) f: domain: $\{ x \mid x \geq 0 \}$
$~~~~$ range: $\{ y \mid y \geq - 4 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ x \mid \mathrm { x } \geq - 4 \}$
$~~~~$ range: $\{ y \mid y \geq 0 \}$
D) f: domain: $\{ x \mid x \geq 0 \}$
$~~~~$ range: $\{ y \mid y \geq - 4 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ \mathrm { x } \mid \mathrm { x } \geq 0 \}$
$~~~~$ range: $\{ y \mid y \geq - 4 \}$