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Q. Which of the following is not an odd function?

Relations and Functions - Part 2

Solution:

$f ( x )=\log \left(\frac{ x ^4+ x ^2+1}{ x ^2+ x +1}\right)$
$f(-x)=\log \left(\frac{x^4+x^2+1}{x^2-x+1}\right)$
Above function is not an odd function.