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### Let $$f : R \to R$$ be the Signum Function defined as $f(x) = \left \{ \begin {array} {1 1} 1, & \quad \text { x > 0} \\ 0, & \quad \text { x =0} \\-1, & \quad \text { x <0} \\ \end {array} \right.$ and $$g:R \to R$$ be the greatest Integer Function given by $$g(x)=[x]$$ where $$[x]$$ is a greatest integer less thar or equal to $$x$$ Then, does $$fog$$ and $$gof$$ coincide in $$(0,1]$$?.

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