Find the domain and range of `f(f)=log{x},w h e r e{}` represents the fractional part function).

Explanation

To find the domain and range of the function \( f(x) = \log(\{x\}) \), where \(\{x\}\) represents the fractional part of \(x\), we can follow these steps:

### Step 1: Understand the fractional part function
The fractional part function \(\{x\}\) is defined as:
\[ \{x\} = x - \lfloor x \rfloor \]
This function gives the decimal part of \(x\) and always lies in the interval:
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