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Consider a function f:A->B is bijective ..which of the following is INCORRECT?

a)f-1 :B->A exist

b)f-1 : B->A unique

c)f-1 is bijective

d) None of these

asked in Set Theory & Algebra by Veteran (18.4k points)   | 121 views
Answer is D.

for inverse to hold a function should be bijective.

So here (a) is correct....

likewise (b) and (c) are also properties of an inverse functions...you can look up any standard textbook..
Change your comment to answer @Aditya Tewari

1 Answer

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Best answer

If function is bijective then it is one to one and onto . 

Function is invertable it is bijective. so inverse is possible.

Function is one to one and onto means bumber of element is same in A and B  since one to one inverse also one to one so unique.

Inverse of bijective funtion is bijective always.

 

answered by Veteran (48.4k points)  
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