Sejam as funções $f$ e $g$ dadas por: $$f:\mathbb{R}\to \mathbb{R},f(x)=\{\begin{array}{l}1\text{ se }|x|<1\\ 0\text{ se }|x|\ge 1\end{array}$$$$g:\mathbb{R}-\{1\}\to \mathbb{R},g(x)=\frac{2x-3}{x-1}$$Sobre a composta $(fog)(x)=f(g(x))$ podemos garantir que: