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).g(−x) + tan(sinx)

Answer 1

Answer: (C)

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

Answer 2

$\log \left( \frac { x ^ { 4 } + x ^ { 2 } + 1 } { x ^ { 2 } + x + 1 } \right)$ = log (x² - x + 1), which is neither odd nor even.