If `f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)}` , then the domain of `f(x)` is _____ and its range is __________.

Explanation

To find the domain and range of the function \( f(x) = \sin\left(\log_e\left(\frac{\sqrt{4 - x^2}}{1 - x}\right)\right) \), we will go through the following steps:

### Step 1: Determine the conditions for the logarithm to be defined
The argument of the logarithm, \( \frac{\sqrt{4 - x^2}}{1 - x} \), must be greater than zero:
\[ \frac{\sqrt{4 - x^2}}{1 - x} > 0 \]

...