Match List-I with List-II and select the correct answer from the given codes.
Codes:
If \( f(x) > 0 \; \forall x \in \mathbb{R} \), \( f'(3) = 0 \) and \( g(x) = f(\tan^2 x - 2\tan x + 4) \), \( 0 < x < \frac{\pi}{2} \), then \( g(x) \) is increasing in