Find the inverse function of the function f given by the set of ordered pairs. $\{ ( 1,4 ) , ( 2,5 ) , ( 3,6 ) , ( 4,7 ) \}$
A) $f ^ { - 1 } = \{ ( 4,4 ) , ( 5,2 ) , ( 6,3 ) , ( 7,4 ) \}$
B) $f ^ { - 1 } = \{ ( 4,1 ) , ( 5,5 ) , ( 6,3 ) , ( 7,4 ) \}$
C) $f ^ { - 1 } = \{ ( 4,1 ) , ( 5,2 ) , ( 6,6 ) , ( 7,4 ) \}$
D) $f ^ { - 1 } = \{ ( 4,1 ) , ( 5,2 ) , ( 6,3 ) , ( 7,4 ) \}$
E) $f ^ { - 1 } = \{ ( 4,1 ) , ( 5,2 ) , ( 6,3 ) , ( 7,7 ) \}$

Question

Quizplus · Accepted Answer

To find the inverse of a function represented by ordered pairs, you swap the positions of each element in the pairs. The original function $f$ is given by $\{ ( 1,4 ) , ( 2,5 ) , ( 3,6 ) , ( 4,7 ) \}$, so its inverse $f^{-1}$ is $\{ ( 4,1 ) , ( 5,2 ) , ( 6,3 ) , ( 7,4 ) \}$.

Find the Inverse Function of the Function F Given by the Set