Q. 7

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

Answer :


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


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