JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f(x)=\frac{\alpha x}{x+1}, x \neq 1

. Then for what value of

\alpha

, is

f(f(x))=x ?

View answer and explanation

Correct option: D

-1

Option D (-1) is correct because when alpha is -1, f(f(x)) simplifies to x.

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