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

If f (x) `= (alpha x)/( x+1)` , `x` `ne``-1` , for what value of ` alpha `is f[f(x)] = x?
a)` sqrt2` b)` -sqrt2` c)1 d)-1

A

` sqrt2`

B

` -sqrt2`

C

` 1`

D

` -1`

Text Solution

Verified by Experts

The correct Answer is:
D
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