 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2008/ia/paper-4/1d/i/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

False. Take

A = {0}

and

B = C = {0, 1}

, with

f (0) = 0

and

g = id_{B}

. Then

f

is an injection and

g

g \circ f

{0}

, so it is not a surjection onto

C

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