Find the range of the following functions
(i) `f(x) = log_(2)(sqrt(x-4) + sqrt(6-x)), 4 le x le 6`
(ii) `f(x) = 9^(x) - 3^(x) + 1`

Explanation

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

### Part (i): \( f(x) = \log_{2}(\sqrt{x-4} + \sqrt{6-x}) \) for \( 4 \leq x \leq 6 \)

1. **Identify the domain of the function:**
- The function is defined for \( x \) in the interval \( [4, 6] \).
- We need to evaluate \( \sqrt{x-4} + \sqrt{6-x} \) within this interval.

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