Gce Model Questions Vol1 2023 Further Mathematics Question 2
Practice objective / multiple choice question 2 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Define \(f:\{1,2,3,4,5\}\to\{0,1\}\) by \(f(x)=1\) if \(x\) is odd and \(f(x)=0\) otherwise. Define \(g:\{0,1\}\to\{a,b\}\) by \(g(0)=b\) and \(g(1)=a\).\n(i) Is \(f\) onto?\n(ii) How many elements are in the pre‑image \(f^{-1}(\{0\})\)?\n(iii) Compute \((g\circ f)(3)\).
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About This Question
This is Gce Model Questions Vol1 2023 Further Mathematics Question 2. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Easy .
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