List of top Mathematics Questions on Increasing and Decreasing Functions asked in KEAM

Let $f$ and $g$ be differentiable real valued functions on $[0,\infty)$. If $f$ is increasing, $g$ is decreasing and $h(x)=f(g(x))$, then $h(2026)-h(2025)$ is

The function \( f(x) = x^2(x-2) \) is strictly decreasing in

The function \( f(x) = 2x^3 - 3x^2 - 36x + 28 \) is increasing in