6. The inverse function of $y=\frac{\mathrm{e}^{x}-\mathrm{e}^{-x}}{2}$
A. is an odd function, it is decreasing on $(0,+\infty)$
B. is an even function, it is increasing on $(0,+\infty)$
C. is an odd function, it is increasing on $(0,+\infty)$
D. is an even function, it is decreasing on $(0,+\infty)$
6. $\mathrm{C}$ notices that the original function is an odd function, and it is increasing.



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