Mark the correct alternative in each of the following:
Let 
Then, for what value of α is f(f(x)) = x?
Given that 
, x≠-1 and f(f(x)) = x
⇒ α2x = x(αx + x + 1)
⇒ α2 = αx + x + 1
⇒ α2 - αx = x + 1
On comparing - αx with x,
We get α = -1
1
Mark the correct alternative in each of the following:
Let Then, for what value of α is f(f(x)) = x?
Given that , x≠-1 and f(f(x)) = x
⇒ α2x = x(αx + x + 1)
⇒ α2 = αx + x + 1
⇒ α2 - αx = x + 1
On comparing - αx with x,
We get α = -1