Let f(x)= x x+1 , x ≠ –1, then for what value of α is f ( f ( x )) = x ?

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

Let \(f(x)=\frac{\alpha x}{x+1}\), x ≠ –1, then for what value of α is
f (f (x)) = x ?
  1. 1
  2. –1

Answer

(D) –1

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