Find the domain of the function, `f(x)=sqrt(3-x)+(1)/(sqrt(x^(2)-1))`.

Explanation

To find the domain of the function \( f(x) = \sqrt{3 - x} + \frac{1}{\sqrt{x^2 - 1}} \), we need to determine the values of \( x \) for which the function is defined. This involves ensuring that the expressions under the square roots are non-negative and that we do not divide by zero.

### Step 1: Analyze the first term \( \sqrt{3 - x} \)

For the square root to be defined, the expression inside must be non-negative:
\[ 3 - x \geq 0 \]
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