Question

What is the inverse of the function { (1,2),(2,3), (3,1) } from the set A ={1,2,3} to itself?

• A. { (1,2),(2,3), (3,1) }
• B. {(2,1), (3,3), (1,2)}
• C. {(2,3), (1, 2), (3,1)}
• D. None of these

Answer 1

The correct option is D

None of these

Inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function. So, instead of (1,2), we will have (2,1),

(2,3) will get replaced by (3,2) and (3,1) will be replaced by (1,3). We get the {(2,1), (3,2), (1,3)} as the inverse function. So the answer is option D.