Decide whether the given functions are inverses.
-$$\begin{array} { l }
f = \{ ( 2,6 ) , ( 6 , - 4 ) , ( - 4 , - 8 ) \} \
g = \{ ( 6,2 ) , ( - 4,6 ) , ( - 8,2 ) \}
\end{array}$$
A) No
B) Yes

Question

Decide whether the given functions are inverses.
-$$\begin{array} { l } 
f = \{ ( 2,6 ) , ( 6 , - 4 ) , ( - 4 , - 8 ) \} \
g = \{ ( 6,2 ) , ( - 4,6 ) , ( - 8,2 ) \}
\end{array}$$
A) No
B) Yes

Quizplus · Accepted Answer

For two functions to be inverses, each pair in one function should be reversed in the other. Here, $ f(2) = 6 $ should imply $ g(6) = 2 $, which is true. However, $ f(6) = -4 $ should imply $ g(-4) = 6 $, which is true, but $ f(-4) = -8 $ should imply $ g(-8) = -4 $, which is not true as $ g(-8) = 2 $. Thus, they are not inverses.

Decide Whether the Given Functions Are Inverses f={(2,6),(6,−4),(−4,−8)}g={(6,2),(−4,6),(−8,2)}\begin{array} { l } f = \{ ( 2,6 ) , ( 6 , - 4 ) , ( - 4 , - 8 ) \} \\g = \{ ( 6,2 ) , ( - 4,6 ) , ( - 8,2 ) \}\end{array}f={(2,6),(6,−4),(−4,−8)}g={(6,2),(−4,6),(−8,2)}​

Decide Whether the Given Functions Are Inverses $\begin{array} { l } f = \{ ( 2,6 ) , ( 6 , - 4 ) , ( - 4 , - 8 ) \} \\g = \{ ( 6,2 ) , ( - 4,6 ) , ( - 8,2 ) \}\end{array}$