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If f(x) = \(1-\frac{1}{x}\), then f(f(\(\frac{1}{x}\))) (a) \(\frac{1}{x}\) (b) \(\frac{1}{1+x}\)

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If f(x) = \(1-\frac{1}{x}\), then f(f(\(\frac{1}{x}\)))
(a) \(\frac{1}{x}\)
(b) \(\frac{1}{1+x}\)
(c) \(\frac{x}{x-1}\)
(d) \(\frac{1}{x-1}\)

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Answer is (c) \(\frac{x}{x-1}\)

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