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Let A ={2,3,4,5} " and " B ={7,9,11,1...

Let `A ={2,3,4,5} " and " B ={7,9,11,13}` and
let f = {(2,7),(3,9) ,(4,11),(5,13)}
Show that f is invertible and find `f^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1) ={(7,2),(9,3),(11,4),(13,5)}`
Clearly f(2)= 7,f(3)=9 , f(4)= and f(5) =13
Thus different elements in A have different images in B.
So , f is one-one
Range (f )( ={(2,2) ,(9,3) ,(11,4),(13,5)}`
`f^(-1) ={(7,2),(9,3),(11,4),(13,5)}`
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