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Question

If f(x)=x1x+1, then find f(f(x)).

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

The correct option is D f(f(x))=1x
Given, f(x)=x1x+1
f(f(x))=(x1x+1)1(x1x+1)+1
=(x1)(x+1)x+1(x1)+(x+1)x+1
=22x=1x

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