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

Explanation

To find the domain of the function \( f(x) = \sqrt{x^2 - 3x + 2} \), we need to ensure that the expression under the square root is non-negative. This means we need to solve the inequality:

\[ x^2 - 3x + 2 \geq 0 \]

### Step 1: Factor the quadratic expression
We start by factoring the quadratic expression \( x^2 - 3x + 2 \). We look for two numbers that multiply to \( 2 \) (the constant term) and add up to \( -3 \) (the coefficient of \( x \)). The numbers \( -1 \) and \( -2 \) satisfy these conditions.
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