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Questions  

f:NN, where f(x)=x(1)x . Then f is 

a
one-one and into
b
many-one and into
c
one-one and onto
d
many-one and onto

detailed solution

Correct option is C

fx=x--1x   fx = x-1 , if x is even                    = x+1  , if x is odd     so it is one one and onto  because  f1=2 ,f2=1,f3=4, f4=3 .......etc.

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Similar Questions

Which of the following statements are incorrect?

 I. If f(x) and g(x) are one-one then f(x)+g(x) is also one-one

 II. If f(x) and g(x) are one-one then f(x)g(x) is also one-one

 III. If f(x) is odd then it is necessarily one-one. 


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