Gce Model Questions Vol1 2023 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 31 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

The function \(f(x)=\dfrac{x^{2}+4x+5}{x+1}\) is defined for all real \(x\neq -1\).\n(a) Find the stationary points of \(f\).\n(b) Determine which stationary point gives the maximum value of \(f\) and state that maximum value.

Answer Options

A. Maximum at \(x=-1+\sqrt{3}\) with value \(2+2\sqrt{3}\)

B. Maximum at \(x=-1-\sqrt{2}\) with value \(2-2\sqrt{2}\)

C. Maximum at \(x=-1+\sqrt{2}\) with value \(2+\sqrt{2}\)

Correct Answer D. Maximum at \(x=-1+\sqrt{2}\) with value \(2+2\sqrt{2}\)

Correct Answer

Correct Option:

Maximum at \(x=-1+\sqrt{2}\) with value \(2+2\sqrt{2}\)

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 31. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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