Igcse Model Questions Vol1 2020 Mathematics Question 22

Practice objective / multiple choice question 22 from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Hard Difficulty

Question 22 IGCSE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

The function \(f\) is defined for all real numbers \(x \neq -m\) by \(f(x)=\dfrac{mx+2}{x+m}\). It is known that \(f\) is its own inverse. (a) Determine the value of \(m\). (b) Using this value, solve the equation \(f(x)=3\) for \(x\).

Answer Options

A. m = 1; x = \dfrac{2}{3}

B. m = 0; x = \dfrac{3}{2}

C. m = 0; x = \dfrac{1}{3}

Correct Answer D. m = 0; x = \dfrac{2}{3}

Correct Answer

Correct Option:

m = 0; x = \dfrac{2}{3}

About This Question

This is Igcse Model Questions Vol1 2020 Mathematics Question 22. It is one of the objective questions from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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