For the given function, find the domain and range of both f(x)and ${ f } ^ { - 1 } ( \mathrm { x } ).$
-{(6, -12), (5, -11), (3, -10), (1, -9)}
A) f: domain: $\{ - 12 , - 11 , - 10 , - 9 \}$
$~~~~$range: $\{ 6,5,3,1 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$
B) f: domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ - 12 , - 11 , - 10 , - 9 \}$
$~~~~$range: $\{ 6,5,3,1 \}$
C) f: domain: $\{ - 12 , - 11 , - 10 , - 9 \}$
$~~~~$range: $\{ 6,5,3,1 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ - 12 , - 11 , - 10 , - 9 \}$
$~~~~$range: $\{ 6,5,3,1 \}$
D) f: domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$

Question

For the given function, find the domain and range of both f(x)and ${ f } ^ { - 1 } ( \mathrm { x } ).$
-{(6, -12), (5, -11), (3, -10), (1, -9)}
A) f: domain: $\{ - 12 , - 11 , - 10 , - 9 \}$ 
$~~~~$range: $\{ 6,5,3,1 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$
B) f: domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ - 12 , - 11 , - 10 , - 9 \}$
$~~~~$range: $\{ 6,5,3,1 \}$
C) f: domain: $\{ - 12 , - 11 , - 10 , - 9 \}$ 
$~~~~$range: $\{ 6,5,3,1 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ - 12 , - 11 , - 10 , - 9 \}$ 
$~~~~$range: $\{ 6,5,3,1 \}$
D) f: domain: $\{ 6,5,3,1 \}$ 
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$
$\mathrm { f } ^ { - 1 }$ : domain: $\{ 6,5,3,1 \}$
$~~~~$range: $\{ - 12 , - 11 , - 10 , - 9 \}$

Quizplus · Accepted Answer

The domain of a function consists of all the first elements of the ordered pairs, and the range consists of all the second elements. For the inverse function, the roles of the domain and range are reversed.

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