Let f(x)=αx(x+1),x≠−1. Then for what value of α is f(f(x))=x?
2
-2
1
-1
f(x)=αxx+1,x≠−1 f(f(x))=x or α∞xx+1αxx+1+1=x or α2x(α+1)x+1=x or (α+1)x2+1−α2x=0 or α+1=0 and 1−α2=0 [As it is true ∀x≠−1 , Eq. (1) is an identity] or α=−1