Let f(x) be a function such that f'(x) = g(x) and f''(x) = -f(x). Let h(x) = {f(x)}² + {g(x)}²…

Let $f(x)$ be a function such that $f'(x) = g(x)$ and $f''(x) = -f(x)$. Let $h(x) = \{f(x)\}^2 + \{g(x)\}^2$. Then, consider the following statements: Statement I: $h'(2024) = 0$. Statement II: $h(2) = h\left(\frac{1}{2}\right)$ Which of the statements given above is/are correct?