Recovering an inner rule from a root
Recovering an inner rule from a root
4 marks
TGM Original
Let f(x)=sqrt(x+2), x >= -2. It is given that fg(x)=2x+1, for x >= - 12. Find g(x) on this domain and verify the stated composite.
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:\(\mathrm g(x)=(2x+1)^2-2\), \(x\ge-\dfrac12\).
Need help? Join our JC Math tuition classes.
Learn more