Find the domain of definition of the following functions :
(i) `f(x) = log_(10) sin (x-3) + sqrt(16 - x^(2))`

Explanation

To find the domain of the function \( f(x) = \log_{10}(\sin(x - 3)) + \sqrt{16 - x^2} \), we need to consider the conditions under which each part of the function is defined.

### Step 1: Analyze the logarithmic part \( \log_{10}(\sin(x - 3)) \)

For the logarithm to be defined, the argument must be positive:
\[ \sin(x - 3) > 0 \]
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