Let
Then write the value of α satisfying f(x)) = x for all
x ≠ - 1.
If 
a2x=ax2+x2+x
x2 (a+1)+x(1- a2)=0
x2 (a+1)+x(1-a)(1+a)=0
(a+1)( x2+x(1-a))=0
a+1=0
Therefore, a=-1
1
LetThen write the value of α satisfying f(x)) = x for all
x ≠ - 1.
If
a2x=ax2+x2+x
x2 (a+1)+x(1- a2)=0
x2 (a+1)+x(1-a)(1+a)=0
(a+1)( x2+x(1-a))=0
a+1=0
Therefore, a=-1