Let \( f:[0,3]\!\to\!A \) be defined by \( f(x)=2x^{3}-15x^{2}-36x+7 \) and \( g:[0,\infty)\!\to\!B \) be defined by \( g(x)=\dfrac{x^{2025}}{x^{2025}+1} \). If both the functions are onto and \( S=\{x\in \mathbb{Z}:x\in A \text{ or } x\in B\} \), then \( n(S) \) is equal to:
