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  • Perplex
    IB Math AASL
    /
    Function Theory
    /

    Problem Bank

    [Maximum mark: 6]

    Consider the rational function ​f(x)=kx+5ax+b​, for ​x=−k5​, where ​a,b,k∈Z. The graph of ​y=f(x)​ has asymptotes at ​y=5​ and ​x=35​, and passes through the point ​Q(2,25).

    Find the values of ​a,b​ and ​k.

    [6]

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