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 determine the values of \( x \) for which the function is defined. The function is undefined when the denominator is equal to zero.

### Step-by-step solution:

1. **Identify the Denominator**:
The denominator of the function is \( g(x) = x^2 - 6x + 8 \).

2. **Set the Denominator to Zero**:
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