Question

Let $f\left(x\right)=e^{\left\{e^{|x|}sgnx\right\}}$ and $g\left(x\right)=e^{\left[e^{|x|}sgnx\right]}$, $x\in R$, where $\left\{\right\}$ and [ ] denote the fractional and integral part functions, respectively. Also $h\left(x\right)=\log \left(f\right(x\left)\right)+\log \left(g\right(x\left)\right)$. Then for real $x$, $h\left(x\right)$ is

• A. an odd function
• B. an even function
• C. neither an odd nor an even function
• D. both odd and even function

Answer 1

The correct option is A an odd function