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Question

The function f(x)=sin(log(x+x2+1)) is

A
Even function
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B
Odd function
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C
Neither even nor odd
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D
Periodic function
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Solution

The correct option is B Odd function

f(x)=sin(log(x+1+x2))
f(x)=sin[log(x+1+x2)]
f(x)=sinlog((1+x2x1+x2+x1+x2+x)
f(x)=sinlog[1(x+1+x2)]
f(x)=sin[log(x+1+x2)1]
f(x)=sin[log(x+1+x2)
f(x)=sin[log(x+1+x2)] f(x)=f(x)
f(x) is odd function.


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