Let
Then write the value of α satisfying f(x)) = x for all
x ≠ - 1.
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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
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