If \[f(x)=\frac{\alpha \,x}{x+1},\ x\ne -1\]. Then, for what value of \[\alpha \] is \[f(f(x))=x\] [IIT Screening 2001; UPSEAT 2001]

If \[f(x)=\frac{\alpha \,x}{x+1},\ x\ne -1\]. Then, for what value of

1.	If \[f(x)=\frac{\alpha \,x}{x+1},\ x\ne -1\]. Then, for what value of \[\alpha \] is \[f(f(x))=x\] [IIT Screening 2001; UPSEAT 2001]
A.	\[\sqrt{2}\]
B.	\[-\sqrt{2}\]
C.	1
D.	?1
Answer» E.

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If \[f(x)=\frac{\alpha \,x}{x+1},\ x\ne -1\]. Then, for what value of \[\alpha \] is \[f(f(x))=x\] [IIT Screening 2001; UPSEAT 2001]

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