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  • Perplex
    IB Math AAHL
    /
    Function Theory
    /

    Problem Bank

    [Maximum mark: 6]

    The function ​f​ is defined by ​f(x)=√5−3x​.

    1. Find an expression for ​f−1(x).

      [2]

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

    A second function, ​g, is defined by ​g(x)=1−x.

    1. Find

      1. the domain of ​(g∘f∘g),

        [2]
      2. the range of ​(f−1∘g).

        [2]

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