2022 EJC J1 MYE Q3
Functions $\text{g}$ and $\text{h}$ are defined as
$\text{g}:x\mapsto 7{{\text{e}}^{-x}}-\text{e}$, $x\in \mathbb{R}$, $x>0$,
$\text{h}:x\mapsto {{x}^{2}}+2x+5$, $x\in \mathbb{R}$, $x\le -1$.
(i)
Determine if the composite function $\text{hg}$ exists.
[2]
(ii)
Write down an expression for $\text{gh}\left( x \right)$ and evaluate $\text{gh}\left( -1 \right)$.
[2]
(iii)
Explain clearly why $\text{gh}\left( 0 \right)$ is not defined.
[1]
(iv)
Determine the exact range of $\text{gh}$.
[2]
Suggested Video and Handwritten Solutions
Our H2 Math Tuition includes
- Question Bank with Video solutions to 1400+ questions
- Online Portal
- H2 Math Summary Notes
- Structured Curriculum and Notes
Share with your friends!
- No charge
- Unsubscribe anytime
Continue reading
Maximizing June Holidays: Is Joining a Crash Course Necessary?
As June holidays approach, students find themselves at a crucial juncture in their academic journey. With the semester winding down and exams looming on the horizon, the pressure to excel
5 Exam Preparation Tips: How We Help Students Excel in Exams
In the ever-evolving landscape of education, where academic success is often measured by performance in exams, the need for effective test preparation has never been more critical. Students face a
List MF 27
What is the MF 27? The MF 27, set to replace the MF 26 from 2025, is a comprehensive formula sheet developed by the Ministry of Education Singapore in collaboration