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Question

If f(x)=log(1+x1x), then f(2x1+x2) is equal to



A

{f(x)}2

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B

{f(x)}3

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C

{2f(x)}

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D

{3f(x)}

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Solution

The correct option is C

{2f(x)}


f(x)=log(1+x1x)
Then, f(2x1+x2)=log(1+2x1+x212x1+x2)
=log1+x2+2x1+x21+x22x1+x2
=log((1+x)2(1x)2)
=2 log(1+x1x)
=2(f(x))


Mathematics
RD Sharma
Standard XI

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