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: Option 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.