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Question

If f:[6,6]R is defined by f(x)=x33,xR, then (fofof)(1)+(fofof)(1)+(fofof)(0)+(fofof)(0)=

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Solution

f:[6,6]R
f(x)=x33
now, (fofofo)(0)=f(f(f(x)))=f(f(x33))=f((x23)23)
=[(x23)23]23
fofof(1)+fofof(0)+fofof(1)=(13)+(363)+(13)
=4+33=29

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