Which of the following is not an odd function? |
$g(x) − g(−x)$ $(g (x) − g(−x))^3$ $\log\left(\frac{x^4+x^2+1}{x^2+x+1}\right)$ $xg(x) . g(−x) + \tan(\sin x)$ |
$\log\left(\frac{x^4+x^2+1}{x^2+x+1}\right)$ |
$x^4 + x^2 + 1 = (x^2+x+1)(x^2-x+1)$ $\log\left(\frac{x^4+x^2+1}{x^2+x+1}\right)=\log(x^2-x+1)$ Which is neither odd nor even. |