Given that (f(x) = 3x^{2} – 12x + 12) and (f(x) = 3), find the values of x.
-
A.
1, 3 -
B.
-1, -3 -
C.
1, -3 -
D.
-1, 3
Correct Answer: Option A
Explanation
(f(x) = 3x^{2} – 12x + 12) and (f(x) = 3)
(therefore f(x) = 3 = 3x^{2} – 12x + 12 implies 3x^{2} – 12x + 12 – 3 = 0)
(3x^{2} – 12x + 9 = 0; 3x^{2} – 9x – 3x + 9 = 0)
(3x(x – 3) – 3(x – 3) = (3x – 3)(x – 3) = 0)
3x – 3 = 0 or x – 3 = 0
(x = 1 or 3)