本题目来源于试卷: Modulus & Inequalities，类别为 IB数学
[问答题]
The function f is dqut,5l / ddavje9qlk. 3:c xe1efined byn-0 hhxsrv 5(v )c/qnu $f(x)=1+\frac{4 x}{x+3}$ , for $x \neq-3 $.
1. Sketch the graph of y=f(x) , indicating clearly any asymptotes and points of intersection with the x and y axes.
2. Find an expression for $f^{-1}$ .
3. Find all values of x for which $f(x)=f^{-1}(x)$ .
4. Solve the inequality $|f(x)|<2 $.
5. Solve the inequality $f(|x|)<2 $.
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