\( \begin{array}{ll}1.3 & \text { Given: } \\ \begin{array}{ll}\frac{x^{2}-x-6}{3 x-9} \\ 1.3 .1 & \text { For which value(s) of } x \text { will the expression be undefined? } \\ 1.3 .2 & \text { Simplify the expression fully. }\end{array}\end{array} \)
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The expression will be undefined where the denominator is equal to zero. For \(3x - 9 = 0\), solving for \(x\) gives \(x = 3\). Thus, the expression is undefined at \(x = 3\). To simplify the expression \(\frac{x^{2}-x-6}{3x-9}\), first factor both the numerator and the denominator. The numerator \(x^{2}-x-6\) factors to \((x-3)(x+2)\), and the denominator \(3x-9\) factors to \(3(x-3)\). Canceling the common factor of \(x-3\) results in the simplified expression \(\frac{x+2}{3}\) for \(x \neq 3\).