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Question

If f(x)=x1+x and g(x)=f(f(x)) then g(x)=

A
1(2x+3)2
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B
1(x+1)2
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C
1x2
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D
1(2x+1)2
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Solution

The correct option is D 1(2x+1)2
Given, f(x)=x1+x

g(x)=f(f(x))=11+1f(x)=11+x+1x=x2x+1

g(x)=(2x+1)1x(2)(2x+1)2=1(2x+1)2

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