These Ten-Year-Series (TYS) worked solutions with video explanations for 2014 A Level H2 Mathematics Paper 1 Question 1 [Modified] are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2014 A Level H2 Math Paper 1 Question 1 [Modified]
The function $\text{f}$ is defined by
$\text{f}:x\mapsto \frac{1}{1-x},x\in \mathbb{R},x\ne 1,x\ne 0$ .
(i)
Show that ${{\text{f}}^{2}}\left( x \right)={{\text{f}}^{-1}}\left( x \right)$.
[4]
(i) Show that ${{\text{f}}^{2}}\left( x \right)={{\text{f}}^{-1}}\left( x \right)$.
[4]
(ii)
Find ${{\text{f}}^{3}}\left( x \right)$ and ${{\text{f}}^{2020}}\left( x \right)$ in simplified forms.
[3]
(ii) Find ${{\text{f}}^{3}}\left( x \right)$ and ${{\text{f}}^{2020}}\left( x \right)$ in simplified forms.
[3]
Suggested Handwritten and Video Solutions
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