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Asked: October 7, 20202020-10-07T09:54:31+01:00 2020-10-07T09:54:31+01:00In: NCERT 12th Maths

18. Let $f : R \to R$ be the Signum Function defined as $f(x) = \begin{cases} 1, & x>1 \\ 0, & x=0 \\ -1, & x<0 \end{cases}$ and $g : R \to R$ be the Greatest Integer Function given by g (x) = [x], where [x] is greatest integer less than or equal to x . Then, does $f \circ g$ and $g \circ f$ coincide in (0, 1] ?

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18. Let $f : R \to R$ be the Signum Function defined as $f(x) = \begin{cases} 1, & x>1 \\ 0, & x=0 \\ -1, & x<0 \end{cases}$ and $g : R \to R$ be the Greatest Integer Function given by g (x) = [x], where [x] is greatest integer less than or equal to x . Then, does $f \circ g$ and $g \circ f$ coincide in (0, 1] ?

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