Recovering a restricted branch
Recovering a restricted branch
4 marks
TGM Original
Let f(x)=(x-1)2+2, for x 1. It is given that fg(x)=x2+2, for all real x. Find g(x), writing your answer separately for x 0 and x<0.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:\(\mathrm g(x)=1-x\) for \(x\ge0\); \(\mathrm g(x)=1+x\) for \(x<0\).
Need help? Join our JC Math tuition classes.
Learn more