本题目来源于试卷: Rational Functions，类别为 IB数学
[问答题]
The function f is defined b ;s4qrdicvf9p(b-;vpqa9t : ky(/ruxa;l 7tnemjs 4hv/z yf *wq m(9-h $f(x)=1+\frac{4 x}{x+3}$, 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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