Question

Which of the following is not an odd function?

• A. $g(x)-g(-x)$
• B. $(g(x)-g(-x){)}^3$
• C. $\log \left(\frac{x^4+x^2+1}{x^2+x+1}\right)$
• D. $xg(x)\cdot g(-x)+\tan (\sin x)$

Answer 1

Answer: (C)

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