Igcse Model Questions Vol1 2019 Mathematics Question 26

Practice objective / multiple choice question 26 from the 2019 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 26 IGCSE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

The function \(f\) is defined by \(f(x)=\dfrac{a x + b}{x-2}\) for all real \(x\neq 2\). Find all real values of the parameters \(a\) and \(b\) for which \(f\) is its own inverse; that is, \(f(f(x)) = x\) for every admissible \(x\).

Answer Options

A. a = 1; b is any real number except -4
B. a = 2; b = -4
Correct Answer C. a = 2; b is any real number except -4
D. a = 2; b is any real number except 0
Correct Answer
C
Correct Option:
a = 2; b is any real number except -4

About This Question

This is Igcse Model Questions Vol1 2019 Mathematics Question 26. It is one of the objective questions from the 2019 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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