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Question

If f:RR be given by f(x)=(3x3)13, then fof (x)is
(a)x13(b)x3
(c)x
(d)3x3

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Solution

Here, function f:RR is given as f(x)=(3x3)13
fof(x)=f(f(x))=f((3x3)13)=[3((3x3)13)3]13
=[3(3x3)]13=(x3)13=x
fof(x)=x. Thus, the correct answer is option (c).


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