Exponent-Log Functions (id: 23f79dc32)

本题目来源于试卷: Exponent-Log Functions，类别为 IB数学

[问答题]
Consider the functioig,d t7hnd2li*h9z6b8 o8as e*(lvys 8 s/kpuf5vvrbb4zb4+ n $f(x)=\frac{e^x-e^{-x}}{2}$,$x\in \mathbb{R}$.
1. Show that f is an odd function.

Now, consider the function g given by $g(x)=\frac{x^4+2}{2x}$, x $\in \mathbb{R},x\ne 0$ .
2. By considering the graph of $y=f(x)-g(x)$, solve $f(x)>g(x)$ for x$\in \mathbb{R}$.

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