Igcse Model Questions Vol1 2023 Mathematics Question 4
Practice objective / multiple choice question 4 from the 2023 Igcse Model Questions Vol1 Mathematics examination.
The function \(f\) is defined for all real numbers by \(f(x)=2x+3\). Another function \(g\) is defined by \(g(x)=kx-5\), where \(k\) is a constant. It is known that the compositions \(f\circ g\) and \(g\circ f\) are identical functions; that is, \((f\circ g)(x)=(g\circ f)(x)\) for every real \(x\).\n\n(a) Determine the value of \(k\).\n\n(b) Using this value of \(k\), find the value of \(x\) for which \((f\circ g)(x)=20\).
Answer Options
About This Question
This is Igcse Model Questions Vol1 2023 Mathematics Question 4. It is one of the objective questions from the 2023 Igcse Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
Master the Exam!
You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.