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Sree (2)

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If f(x)=[x}
g(x)=sinx , 0x2 . Find (g.f)(x)?
    
amar.gupta (590)

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Olaaa!! Perrrfect answer. 102  [142 rates]

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Dear,

f(x)=[x]

g(x)=sin x , 0x2 .

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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