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Question

If f(x)=(pxn)1/n,p>0 and n is a positive integer, then f(f(x))=

A
x
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B
xn
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C
p1/n
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D
pxn
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Solution

The correct option is A x
Given, f(x)=(pxn)1n
f(f(x))=(p((pxn)1n)n)1n
=(p(pxn))1n
=(xn)1n
=x

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