Gce Model Questions Vol1 2024 Further Mathematics Question 28

Practice objective / multiple choice question 28 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Easy Difficulty
Question 28 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Let \(A = \{1,2,3\}\) and \(B = \{a,b\}\). Define \(f: A \to B\) by \(f(1)=a,\; f(2)=b,\; f(3)=a\) and \(g: B \to A\) by \(g(a)=2,\; g(b)=3\). Compute \((g\circ f)(2)\) and state whether the composite function \(g\circ f\) is injective.

Answer Options

A. 3; injective
B. 2; injective
Correct Answer C. 3; not injective
D. 2; not injective
Correct Answer
C
Correct Option:
3; not injective

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 28. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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