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

Let `f: (0,1) to 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 = f^(-1)` on [0,1] and `f'(b) = 1/(f'(0))`

D

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

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The correct Answer is:
A, B
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