Let f:R→R be the Signum function defined as f(x)=⎧⎪⎨⎪⎩1,x>

1.	Let f:R→R be the Signum function defined as f(x)=⎧⎪⎨⎪⎩1,x>00,x=0−1,x<0 and g:R→R be the greatest integer function given by g(x) =[x] is greatest integer less than or equal to x. Then, fog and gof coincide in (0,1].
Answer» Let $f : R \to R$ be the Signum function defined as $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1, & x > 0 0, & x = 0 - 1, & x < 0 \end{matrix}$ and $g : R \to R$ be the greatest integer function given by g(x) =[x] is greatest integer less than or equal to x. Then, fog and gof coincide in (0,1].

Let f:R→R be the Signum function defined as f(x)=⎧⎪⎨⎪⎩1,x>00,x=0−1,x<0 and g:R→R be the greatest integer function given by g(x) =[x] is greatest integer less than or equal to x. Then, fog and gof coincide in (0,1].

Answer»

Let $f : R \to R$ be the Signum function defined as $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1, & x > 0 0, & x = 0 - 1, & x < 0 \end{matrix}$ and $g : R \to R$ be the

greatest integer function given by g(x) =[x] is greatest integer less than or equal to x. Then, fog and gof coincide in (0,1].

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Let f:R→R be the Signum function defined as f(x)=⎧⎪⎨⎪⎩1,x&gt;00,x=0−1,x&lt;0 and g:R→R be the greatest integer function given by g(x) =[x] is greatest integer less than or equal to x. Then, fog and gof coincide in (0,1].

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Let f:R→R be the Signum function defined as f(x)=⎧⎪⎨⎪⎩1,x>00,x=0−1,x<0 and g:R→R be the greatest integer function given by g(x) =[x] is greatest integer less than or equal to x. Then, fog and gof coincide in (0,1].