Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Which of the following is not an odd function?

Options:

$g(x) − g(−x)$

$(g (x) − g(−x))^3$

$\log\left(\frac{x^4+x^2+1}{x^2+x+1}\right)$

$xg(x) . g(−x) + \tan(\sin x)$

Correct Answer:

$\log\left(\frac{x^4+x^2+1}{x^2+x+1}\right)$

Explanation:

$x^4 + x^2 + 1 = (x^2+x+1)(x^2-x+1)$

$\log\left(\frac{x^4+x^2+1}{x^2+x+1}\right)=\log(x^2-x+1)$

Which is neither odd nor even.