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)\}`