Let \( f(x)=\frac{a x}{x+1} \) for \( x \neq-1 \) Then the value of a such that \( (f \circ f)(x....

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Let \( f(x)=\frac{a x}{x+1} \) for \( x \neq-1 \)
\( \mathrm{P} \)
Then the value of a such that \( (f \circ f)(x)=x \) for all \( x \neq-1 \) is
(1) -1
(2) \( \sqrt{2} \)
(3) \( -\sqrt{2} \)
(4) 1


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