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Let f(x)=(alpha x)/(x+1), x ne -1. Then,...

Let `f(x)=(alpha x)/(x+1), x ne -1.` Then, for what value of `alpha " is " f[f(x)]=x` ?

A

`sqrt2`

B

`-sqrt2`

C

`1`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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