Find the domain and range of the following `f(x)=1/(x^2-1)`

Explanation

To find the domain and range of the function \( f(x) = \frac{1}{x^2 - 1} \), we will follow a systematic approach.

### Step 1: Determine the Domain

The function \( f(x) \) is in the form of \( \frac{p}{q} \), where \( p = 1 \) and \( q = x^2 - 1 \). For the function to be defined, the denominator \( q \) must not be equal to zero.

1. Set the denominator equal to zero:
\[
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