Let a function \( f:(0, \infty) \rightarrow(0, \infty) \) be defined by \( f(x)= \) \( \left|1-\...

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Let a function \( f:(0, \infty) \rightarrow(0, \infty) \) be defined by \( f(x)= \) \( \left|1-\frac{1}{x}\right| \). Then \( \mathrm{fis} \) :
(1) not injective but it is surjective
(2) injective only
(3) neither injective nor surjective
(4) both injective as well as surjective
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