Range of the function : `f(x)=log_2((pi+2sin^(- 1)((3-x)/7))/pi)`

Explanation

To find the range of the function \( f(x) = \log_2\left(\frac{\pi + 2 \sin^{-1}\left(\frac{3-x}{7}\right)}{\pi}\right) \), we will follow these steps:

### Step 1: Determine the domain of the sine inverse function
The function \( \sin^{-1}(y) \) is defined for \( y \) in the range \([-1, 1]\). Therefore, we need to find the values of \( x \) for which \( \frac{3-x}{7} \) lies within this interval.

\[ -1 \leq \frac{3-x}{7} \leq 1 \]
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