The domain of the function `f(x)=1/(sqrt({sinx}+{sin(pi+x)}))` where `{dot}` denotes the fractional part, is (a) `[0,pi]` (b) `(2n+1)pi/2, n in Z` `(0,pi)` (d) none of these

Explanation

To find the domain of the function \( f(x) = \frac{1}{\sqrt{\{ \sin x \} + \sin(\pi + x)}} \), we need to analyze the components of the function, particularly the denominator.

### Step 1: Simplify the function
We know that:
\[ \sin(\pi + x) = -\sin x \]
Thus, we can rewrite the function as:
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