1.

Let f : R → R be the Signum Function defined as and g : R → R be the Greatest Integer Function given by g ( x ) = [ x ], where [ x ] is greatest integer less than or equal to x . Then does f o g and g o f coincide in (0, 1]?

Answer» Let f : R → R be the Signum Function defined as and g : R → R be the Greatest Integer Function given by g ( x ) = [ x ], where [ x ] is greatest integer less than or equal to x . Then does f o g and g o f coincide in (0, 1]?


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