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Let f(x)=(alphax)/((x+1)),x!=-1. The fo...

Let `f(x)=(alphax)/((x+1)),x!=-1.` The for what value of `alpha` is `f(f(x))=x ` (a)`sqrt(2)` (b) `-sqrt(2)` (c) `1` (d) `-1`

A

`sqrt(2)`

B

`-sqrt(2)`

C

1

D

-1

Text Solution

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To solve the problem, we need to find the value of \(\alpha\) such that \(f(f(x)) = x\) for the function defined as: \[ f(x) = \frac{\alpha x}{x + 1}, \quad x \neq -1 \] ### Step 1: Find \(f(f(x))\) ...
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