إجابة:
(س + 2)
تفسير:
#f (x) = (a / b) / (c / d) #
عامل جميع وظائف س:
1. #a = 3x ^ 2 - 7x -6 = # (3 × 2) (س - 3)
2. #b = x ^ 3 - 3x ^ 2 + 4x - 12 = (x - 3) (x ^ 2 + 4) #
3. #c = 3x ^ 2 - 4x - 4 = # (3 × 2) (س - 2)
4. #d = x ^ 4 - 16 = (x ^ 2 + 4) (x - 2) (x + 2) #
#f (x) = (3x + 2) (x - 3) / (x - 3) (x ^ 2 + 4) (x ^ 2 + 4) (x - 2) (x + 2)) / (3x + 2) (x - 2) #
f (x) = (x + 2)