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Paper 2 · Functions and Graphs

Given f−1(x)=102x−13f^{-1}(x)=\dfrac{10}{2x-13}, evaluate f−1(4)f^{-1}(4).

Model answer

-2

Also accepted: -2.0

Explanation: f−1(4)=108−13=10−5=−2f^{-1}(4)=\dfrac{10}{8-13}=\dfrac{10}{-5}=-2.

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q5

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