Question

Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)} write the set of ordered pairs representing ƒ -1.Select one:a. {(1, 2), (3, 2), (4, 3)}b. {(2,1), (3, 2), (4, 3)}c. {(2, 1), (2, 3), (3, 4)}

Answer 1

The function f is given such that

$f=\mleft\lbrace(1,2\mright),(2,3),(3,4)\}$

The inverse of the function is given by

$\begin{gathered} f\rightarrow(x,y)_{} \\ f^{-1}\rightarrow(y,x) \end{gathered}$

Therefore, the ordered pairs of the inverse function are

$f^{-1}=\mleft\lbrace(2,1\mright),(3,2),(4,3)\}$