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Let f(x) = αx/(x + 1), x ≠ - 1. Then, for what value of α is f[f(x)] = x? (a) √2 (b) - √2

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Let f(x) = αx/(x + 1), x ≠ - 1. Then, for what value of α is f[f(x)] = x?

(a) √2

(b) - √2

(c) 1

(d) -1

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1 Answer

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Best answer

The correct option (d) - 1

Explanation:

But α = 1 does not satisfy the Eq. (i). 

Therefore, (d) is the answer.

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