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![[Post New]](/templates/default/images/icon_minipost_new.gif) 22 Apr 2007 22:23:26 IST
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If f(x)=[x} g(x)=sin  x , 0  x  2 . Find (g.f)(x)?
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Apr 2007 11:31:50 IST
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Dear,
f(x)=[x] g{f(x)} =sin {f(x)} , 0 f(x) 2
g{f(x)} =sin {[x]} , 0 [x] 2
so [x] can be 0 ,1, 2 only .
g{f(x)} =sin (0) , 0 x < 1
= sin (1) , 1 x < 2 = sin (2) , 2 x < 3 g{f(x)} = 0 , 0 x < 1 = 0 , 1 x < 2 = 0 , 2 x < 3 g{f(x)} = 0 , 0 x < 3
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this reply: 10 points
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