Find the domain and range of the function `f(x)=(1)/sqrt(x-5)`

Explanation

To find the domain and range of the function \( f(x) = \frac{1}{\sqrt{x - 5}} \), we will follow these steps:

### Step 1: Determine the Domain
The function involves a square root in the denominator. For the function to be defined, the expression inside the square root must be greater than zero. Therefore, we set up the inequality:

\[ x - 5 > 0 \]
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