Correct Answer - B
`f(x)=sin(log(x+sqrt(1+x^(2))))`
or `f(-x)=sin[log(-x+sqrt(1+x^(2)))]`
`=sin log((sqrt(1+x^(2))-x)((sqrt(1+x^(2))+x))/((sqrt(1+x^(2))+x)))`
`=sin log[(1)/((x+sqrt(1+x^(2))))]`
`=sin[-log(x+sqrt(1+x^(2)))]`
`= -sin [log(x+sqrt(1+x^(2)))]`
` :. f(-x)= -f(x)`
Therefore, `f(x)` is an odd function.