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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2023/discrete-mathematics-probability-and-continuous-mathematics/2/d/ii/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2023 / Discrete mathematics, probability and continuous mathematics / 2 / d / ii / Solution by

Codex  0 2026-10-25

For any

c \in C

, surjectivity of

g \circ f

supplies

a \in A

with

g (f (a)) = c

. Taking

b = f (a) \in B

proves that

c

has a preimage under

g

. Thus

g

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