_MATH1013_1ABCD_2025 Subsection 4.1 (closed on 25 Oct)

Let \(f(x)\) be a function with continuous derivative such that \(f(0)=4\) and \(f’(0)=5\). Define \(g(x)=f(x)+\sin {x}\), and let \(h\) be the inverse of \(g\). Find \(h’(4)\).