If the function is one-to-one, list the inverse function by switching coordinates or inputs and outputs.
-$f = \{ ( 6,1 ) , ( - 4,2 ) , ( - 6,3 ) , ( - 8,4 ) \}$
A) $f ^ { - 1 } = \{ ( 1,6 ) , ( 2 , - 4 ) , ( 3 , - 6 ) , ( 4 , - 8 ) \}$
B) not one-to-one
C) $f ^ { - 1 } = \{ ( 2,1 ) , ( 4 , - 6 ) , ( 6 , - 6 ) , ( 2,3 ) \}$
D) $f ^ { - 1 } = \{ ( 2,1 ) , ( 1 , - 6 ) , ( 6 , - 4 ) , ( 2,3 ) \}$

Question

Quizplus · Accepted Answer

The inverse function $f^{-1}$ is found by switching the coordinates (inputs and outputs) of the original function $f$. Since $f$ is given as a set of ordered pairs, the inverse $f^{-1}$ will have each pair's elements swapped. Option A correctly lists these swapped pairs.

If the Function Is One-To-One, List the Inverse Function by Switching