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Let f:(0,1) rarr R be defined by f(x)=(b...

Let `f:(0,1) rarr R` be defined by `f(x)=(b-x)/(1-bx)`, where b is a constant such that `0 lt b lt 1`. Then,

A

f is not invertible on (0,1)

B

(`f ne f^(-1) on (0,1) and f(b)=(1)/(f'(0))`

C

`f ne f^(-1) on (0,1) and f(b)=1/(f(0))`

D

`f^(-1)` is differentiable on (0,1)

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