Application Of Derivatives

If \(f^{\prime \prime}(x)\) is a positive function for all \(x \in R, f^{\prime}(3)=0\) and \(g(x)=f\left(\tan ^2(x)-2 \tan (x)+4\right)\) for \(0 < x <\frac{\pi}{2}\), then the interval in which \(g(x)\) is increasing is