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  • Perplex
    IB Math AAHL
    /
    Transformations & asymptotes
    /

    Problem Bank

    [Maximum mark: 17]

    Consider the function ​g(x)=x−cax+b​−2, for ​x=c, where ​a,b,c∈R.


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    1. Using information on the graph of ​y=g(x)​ above, find the values of ​a,b​ and ​c.

      [4]
    2. Find ​g−1(x).

      [3]
    3. Find the coordinates of the intersection(s) of the graphs of ​y=g(x)​ and ​y=g−1(x).

      [5]
    4. Solve the inequality ​∣g(∣x∣)∣<3.

      [5]

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