Q.

 Let f:AB be a function defined as f(x)=x-1x-2, where A=R-{2} and B=R-{1} then f is

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a

Not invertible 

b

 invertible and f-1(y)=2y-1y-1

c

 Invertible and f-1(y)=2y+1y-1

d

 invertible and f-1(y)=3y-1y-1

answer is D.

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Detailed Solution

 Suppose y=f(x)

                    y=x1x2

             yx2y=x1

                     y1x=2y1

x=f1y=2y1y1

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