Can you find …

… functions \(f(x)\) and \(g(x)\) so that \(f(g(x))\) has stationary points when \(x=-1\) and \(x=5\)?

… a function \(g(x)\) so that \(\ln{g(x)}\) has a local minimum?

… functions \(f(x)\) and \(g(x)\) so that \(f(g(x))\) has no stationary points?