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 is D

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.