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

question 155

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: \(\{ y \mid y \geq - 4 \}\)

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