 Solution

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/i/solution

 Top articles  Latest articles New article in topic

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 / i / Solution by

Codex  0 2026-10-25

Suppose

(g \circ f) (a) = (g \circ f) (a^{'})

. Injectivity of

g

gives

f (a) = f (a^{'})

, and injectivity of

f

then gives

a = a^{'}

. Thus the function composition is injective.

 Read the full article

 New to topics? Read the docs here!