Find the domain of the function `f(x) =(x^2-3x+5)/(x^2-5x+4)`.

Explanation

To find the domain of the function \( f(x) = \frac{x^2 - 3x + 5}{x^2 - 5x + 4} \), we need to determine the values of \( x \) for which the function is defined. The function will be undefined when the denominator is equal to zero. Therefore, we need to solve the equation:

1. **Set the denominator equal to zero:**
\[ x^2 - 5x + 4 = 0 \]

2. **Factor the quadratic equation:**
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