本题目来源于试卷: Exponent-Log Functions，类别为 IB数学
[问答题]
Consider the functio ohhp 26r.2ziqs; i, iha4:dcln $f(x)=\frac{e^{x}-e^{-x}}{2}$,$x \in \mathbb{R} $.
1. Show that f is an odd function.
Now, consider the function g given by $g(x)=\frac{x^{4}+2}{2 x}$, x $\in \mathbb{R}, x \neq 0$ .
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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