For a set A ={1, 2, 3}, the following functions are defined from A to A. Which of these functions has an inverse ?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $f_1$= {(1, 1), (2, 2), (3, 3)}
for a function to have inverse it must be bijective
⇒ only $f_1$ is bijective in nature
i.e. one-one and onto
⇒ its inverse exist