本题目来源于试卷: Rational Functions，类别为 IB数学
[问答题]
Let $ f(x)=\frac{3 x+4}{2 x-5}$ , for $x \neq \frac{5}{2} $.
1. For the graph of y=f(x) , find the coordinates of:
1. the x -intercept;
2. the y -intercept.
2. For the graph of y=f(x) , find the equation of:
1. the horizontal asymptote;
2. the vertical asymptote.
3. Hence sketch the graph of y=f(x) .
4. Find $ f^{-1}(x) $.
The graphs of f(x) and $f^{-1}(x)$ have two points of intersection.
5. Find the coordinates of the two points of intersection. Give your answers to two decimal places.
6. Hence find the equation of the perpendicular bisector to the two points of intersection.
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