Mathematics - Functions Question with Solution | TestHub

Let$f:\mathit{R}\to \mathit{R}$be a function defined by$f\left(x\right)={\left(2\left(1-\frac{x^{25}}{2}\right)\left(2+x^{25}\right)\right)}^{\frac{1}{50}}$. If the function$g\left(x\right)=f\left(f\left(f\left(x\right)\right)\right)+f\left(f\left(x\right)\right)$, then the greatest integer less than or equal to$g\left(1\right)$is ______.