Find the domain of the function `f(x) = (x^(2)+5x+1)/(x^(2)-6x + 8)`.

Explanation

To find the domain of the function \( f(x) = \frac{x^2 + 5x + 1}{x^2 - 6x + 8} \), we need to ensure that the denominator is not equal to zero, as division by zero is undefined.

### Step 1: Set the denominator not equal to zero
We start by setting the denominator equal to zero and solving for \( x \):
\[ x^2 - 6x + 8 \neq 0 \]

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