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Question

f is a real function defined by f(x)=x1x+1;x1 then f(2x)=

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

The correct option is B 3f(x)+1f(x)+3
f(x)=x1x+1
f(x)+1f(x)1=2x2
x=f(x)+11f(x)
Now f(2x)=2x12x+1
=2(f(x)+11f(x))12(f(x)+11f(x))+1
=3f(x)+1f(x)+3

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