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Q.

Iff:[6,  6]Risdefinedbyf(x)=x23xR, then(fofof)(1)+(fofof)(0)+(fofof)(1)=

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a

f(2)

b

f(32)

c

f(42)

d

f(22)

answer is A.

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Detailed Solution

f(x)=x23fofof(1)=f(f(f(1))),      fofof(0)=f(f(f(0))),      fofof(1)=f(f(f(1)))                 =f(f(2)),                         =f(f(3)),                   =f(f(2))                  =f(1),                                =f(6),                           =f(1)                  =2,                                 =33,                            =2  fofof(1)+fofof(0)+fofof(1)=2+332  291)f(42)=323=29

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