Find the domain of `f(x) = sqrt (|x|-{x})` (where `{*}` denots the fractional part of x.

Explanation

To find the domain of the function \( f(x) = \sqrt{|x| - \{x\}} \), where \( \{x\} \) denotes the fractional part of \( x \), we need to ensure that the expression inside the square root is non-negative. This means we need to solve the inequality:

\[ |x| - \{x\} \geq 0 \]

### Step 1: Understanding the fractional part
The fractional part \( \{x\} \) is defined as \( \{x\} = x - \lfloor x \rfloor \), where \( \lfloor x \rfloor \) is the greatest integer less than or equal to \( x \). Therefore, \( 0 \leq \{x\} < 1 \).
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