The function f(x)=\frac{\log _e(\pi+x)}{\log _e(e+x)} is

Correct Answer is : decreasing on (0,∞)

decreasing on (0, \frac{\pi}{e}), increasing on (\frac{\pi}{e}, \infty)

increasing on (0, \frac{\pi}{e}), decreasing on (\frac{\pi}{e}, \infty)