2020 IGCSE Additional Mathematics May/June 0606/13 Q1
2020 IGCSE Additional Mathematics May/June 0606/13 Q1
7 marks
\(\mathrm{f}(x)=3+\mathrm{e}^x\quad\text{for}\hspace{0.5em}x\in\mathbb{R}\)
\(\mathrm{g}(x)=9x-5\quad\text{for}\hspace{0.5em}x\in\mathbb{R}\)
- Find the range of \(\mathrm{f}\) and of \(\mathrm{g}\).[2]
- Find the exact solution of \(\mathrm{f}^{-1}(x)=\mathrm{g}'(x)\).[3]
- Find the solution of \(\mathrm{g}^2(x)=112\).[2]
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:(a) \(\mathrm{f}(x)>3\); \(\mathrm{g}(x)\in\mathbb{R}\) (b) \(x=\mathrm{e}^9+3\) (c) \(x=2\)
Need help? Join our JC Math tuition classes.
Learn more