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If f(x) = (x - 1)/(x + 1), then show that (i) f(1/x) = - f(x) (ii) f(-1/x) = -1/f(x)

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If f(x) = (x - 1)/(x + 1), then show that

(i) f(1/x) = - f(x)

(ii) f(-1/x) = -1/f(x) 

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Given that f(x) = (x - 1)/(x + 1)

(i) f(1/x) = - f(x)

(ii) f(-1/x) = -1/f(x)

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