Question on: WAEC Mathematics - 2002

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
\(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)
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Correct Option: 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.

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