本题目来源于试卷: Properties of Functions,类别为 IB数学
[问答题]
Let f(x)=$\frac{5}{x+1}$ , for $ x \neq-1 $.
1. For the graph of f , find:
1. the x -intercept;
2. the y -intercept;
3. the equation of the vertical asymptote.
Let g(x)=x-3 , for x $\in \mathbb{R}$. The graphs of f and g intersect at points $\mathrm{A} $ and $ \mathrm{B}$ .
2. Find the coordinates of A and B .
3. Find the equation of the straight line that passes through A and B , giving your answer in the form y=m x+c .
4. Write down the gradient of the line that is perpendicular to the line passing through A and B .
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