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Question

If f(x)=(axn)1/n where a>0 and } n is a positive integer then(fof)(x) is

A
f(x)
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B
x
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C
0
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D
1
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Solution

The correct option is B x
f(x)=(axn)1/n
f(f(x))=(a(f(x))n))1/n
f(f(x))=(a((axn)1/n)n)1/n
f(f(x))=(a((axn)))1/n
f(f(x))=(aa+xn)1/n
f(f(x))=(xn)1/n
(f(x))=x

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