For what values of x is the expression \(\frac{3x-2}{4x^2+9x-9}\) undefined?
A. \(\frac{-3}{4} \hspace{1mm}or \hspace{1mm}3\) B. \(\frac{-2}{3} \hspace{1mm}or \hspace{1mm}-3\) C. \(\frac{2}{3} \hspace{1mm}or \hspace{1mm}3\) D. \(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)
Correct Answer: D
Explanation
The equation \(\frac{3x - 2}{4x^2 + 9x - 9}\) is undefined when the denominator = 0. \(4x^2 + 9x - 9 = 0\) \(4x^2 + 12x - 3x - 9 = 0\) \(4x(x + 3) - 3(x + 3) = 0\) \((4x - 3)(x + 3) = 0\) x = \(\frac{3}{4}\) or x = -3.
