## Find the domain of the function f(x)

<p>To find the domain of the function f(x) = (x - 2)/(x^2 - 3x + 2), we need to determine the values of x for which the function is defined.</p><p>The function will be undefined if the denominator (x^2 - 3x + 2) equals zero since division by zero is undefined.</p><p><br></p><p>To find the values of x that make the denominator zero, we solve the equation x^2 - 3x + 2 = 0.</p><p>Factoring the quadratic equation, we have: (x - 1)(x - 2) = 0.</p><p>Setting each factor equal to zero gives us x - 1 = 0 and x - 2 = 0, which leads to x = 1 and x = 2.</p><p>Therefore, the function is undefined when x = 1 or x = 2 since they make the denominator zero. </p><p><br></p><p>Hence, the domain of the function f(x) is all real numbers except x = 1 and x = 2. In interval notation, the domain can be expressed as (-<span style="background-color: rgb(255, 255, 255); color: rgb(60, 64, 67);">∞,</span> 1) U (1,2) I (2, <span style="background-color: rgb(255, 255, 255); color: rgb(60, 64, 67);">∞</span> ).</p><p><br></p><p>I hope I answered your question! </p><p><br></p>