本题目来源于试卷: Modulus & Inequalities，类别为 IB数学
[问答题]
Consider the functionr f r 28ro:/fad;fez2be5 0dj5 mjx1ph33nlno $f(x)=\frac{e^{x}-e^{-x}}{2}$, $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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