`1/(sqrt(x^2-4))` Find the domain of the functions

Explanation

To find the domain of the function \( f(x) = \frac{1}{\sqrt{x^2 - 4}} \), we need to ensure that the expression under the square root is positive and not equal to zero, since the denominator cannot be zero.

### Step-by-Step Solution:

1. **Identify the condition for the square root**:
The expression inside the square root, \( x^2 - 4 \), must be greater than zero:
\[
x^2 - 4 > 0
...