For what values of x is the expression \(\frac{3x-2}{4x^2+9x-9}\) undefined?
MATHEMATICS
WAEC 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. \(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)
Correct Answer: D. \(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)
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.
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