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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Analyzing +4 | -1
If f(x)=αxx+1,  x≠−1f\left( x \right) = \frac{{\alpha x}}{{x + 1}},\;x \ne - 1, for what value of α is f[f(x)]=xf\left[ {f\left( x \right)} \right] = x?
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Correct option: D
-1
The correct answer is D (-1) because when α = -1, f[f(x)] simplifies to x, satisfying the given condition.

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