本题目来源于试卷: Properties of Functions，类别为 IB数学
[问答题]
The function f is deele1( iop7 -9f(x w+d iqmna6tfined 27yw m*fdwjbp m0-)cyby $f(x)=1+\frac{4 x}{x+3}$ , 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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