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If f(x) = ax/x + 1, x ≠ -1, then for what value of a is f[f(x)] = x ?

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If f(x) = ax/x + 1, x ≠ -1, then for what value of a is f[f(x)] = x ?

(a)   √2

(b)   -√2

(C)  1

(D)  –1

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1 Answer

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Correct option  (d)  -1

Explanation :

We have

 Therefore,

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