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  • Perplex
    IB Math AASL
    /
    Quadratics
    /

    Problem Bank

    [Maximum mark: 9]

    Consider the function ​f(x)=√−x2+4x+5​.

    1. Find the domain and range of ​f.

      1. the domain of ​f,

        [2]

        To earn a crown, get your answer ready before you reveal the options!

      2. the range of ​f.

        [2]

    A second function ​h​ is defined bt ​h(x)=f(x)​ for ​x<a.

    1. Find the largest possible value of ​a​ such that ​h−1​ exists.

      [1]
    2. For the value of ​a​ found in (b), find ​h−1(x).

      [4]

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