If the function is one-to-one, list the inverse function by switching coordinates or inputs and outputs.
-$$f = \{ ( 6 , - 2 ) , ( 9 , - 1 ) , ( 7,0 ) , ( 5,1 ) \}$$
A) $\mathrm { f } ^ { - 1 } = \{ ( - 1 , - 2 ) , ( - 2,7 ) , ( 6,9 ) , ( - 1,0 ) \}$
B) $\mathrm { f } ^ { - 1 } = \{ ( - 1 , - 2 ) , ( 1,7 ) , ( 6,7 ) , ( - 1,0 ) \}$
C) $\mathrm { f } ^ { - 1 } = \{ ( - 2,6 ) , ( - 1,9 ) , ( 0,7 ) , ( 1,5 ) \}$
D) not one-to-one

Question

Quizplus · Accepted Answer

To find the inverse of a one-to-one function, you switch the x and y coordinates of each ordered pair in the function. The correct inverse function for $f$ is $\{ ( - 2,6 ) , ( - 1,9 ) , ( 0,7 ) , ( 1,5 ) \}$, which matches option C.

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