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Algebra Level 4

\[\Large \color{blue}{f(x)=\{ x \} +\dfrac{1}{ \{ x \}}}\]

Find the minimum value of \(\color{blue}{f(x)}\).

Note: \( \{x\} \) denotes the fractional part of \(x\), so \( 0 \leq \{x\} < 1 \).


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