Let f:[0,3] → A be defined by f(x)=2 x^3-15 x^2+36 x+7 and g:[0, ∞) → B be defined by g (x)=(x^2025)/(x^2025+1). If both the functions are onto and S…

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