Decide whether the given functions are inverses.
-$$\begin{array} { l }
\mathrm { f } = \{ ( 1,8 ) , ( 8 , - 3 ) , ( - 3 , - 9 ) \} \
g = \{ ( 8,1 ) , ( - 3,8 ) , ( - 9,1 ) \}
\end{array}$$
A) Yes
B) No

Question

Decide whether the given functions are inverses.
-$$\begin{array} { l } 
\mathrm { f } = \{ ( 1,8 ) , ( 8 , - 3 ) , ( - 3 , - 9 ) \} \
g = \{ ( 8,1 ) , ( - 3,8 ) , ( - 9,1 ) \}
\end{array}$$
A) Yes
B) No

Quizplus · Accepted Answer

For two functions to be inverses of each other, swapping the x and y values of each pair in one function should produce the other function. Here, swapping the pairs in f gives {(8,1), (-3,8), (-9,-3)}, which does not match g exactly because g has (-9,1) instead of (-9,-3).

Decide Whether the Given Functions Are Inverses f={(1,8),(8,−3),(−3,−9)}g={(8,1),(−3,8),(−9,1)}\begin{array} { l } \mathrm { f } = \{ ( 1,8 ) , ( 8 , - 3 ) , ( - 3 , - 9 ) \} \\g = \{ ( 8,1 ) , ( - 3,8 ) , ( - 9,1 ) \}\end{array}f={(1,8),(8,−3),(−3,−9)}g={(8,1),(−3,8),(−9,1)}​

Decide Whether the Given Functions Are Inverses $\begin{array} { l } \mathrm { f } = \{ ( 1,8 ) , ( 8 , - 3 ) , ( - 3 , - 9 ) \} \\g = \{ ( 8,1 ) , ( - 3,8 ) , ( - 9,1 ) \}\end{array}$