Find the domain and range of following functions
(i) `f(x)=log_(e)(sinx)`
(ii) `f(x)=log_(3)(5-4x-x^(2))`

Explanation

To find the domain and range of the given functions, we will analyze each function step by step.

### Function (i): \( f(x) = \log_e(\sin x) \)

**Step 1: Determine the domain of \( f(x) \)**
The logarithmic function \( \log_e(y) \) is defined only for \( y > 0 \). Therefore, we need \( \sin x > 0 \).

**Step 2: Find the intervals where \( \sin x > 0 \)**
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