תשובה:
(x + 2)
הסבר:
f (x) = (a / b) / (c / d)
פקטור כל הפונקציות של x:
1. a = 3x ^ 2 - 7x -6 = (3x + 2) (x - 3)
2. b = x ^ 3 - 3x ^ 2 + 4x - 12 = (x - 3) (x ^ 2 + 4) #
3. c = 3x ^ 2 - 4x - 4 = (3x + 2) (x - 2)
4. x = x ^ 4 - 16 = (x ^ 2 + 4) (x - 2) (x + 2)
(x - 2 + 4) (x - 2) (x + 2) (x - 2 + 4)) / (3x + 2) (x - 2) #
f (x) = (x + 2)