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: $\{ y \mid y \geq - 4 \}$

Question

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: $\{ y \mid y \geq - 4 \}$

Quizplus · Accepted Answer

The Answer of 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: $\{ y \mid y \geq - 4 \}$

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