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SAJC Functions Tutorial Q11 The functions $text{f}$ and $text{g}$ are defined as follows $text{f}:xmapsto sin x$, $xin mathbb{R}$, $-pi le xle 2pi $.$text{g}:xmapsto cos x$, $xin mathbb{R}$, $0le xle 2pi

2006 MJC Promo The function $text{f}$ is defined by $text{f}:xmapsto ln left( {{x}^{2}}-x-2 right)$, $c<x<d$, where $c<d<0$. (a) Find the values of $c$ and $d$ such that the range of

2022 HCI J1 BT Q1 A piecewise function is given as $text{f}left( x right)=left{ begin{matrix}3-xtext{ for }1le xle 3, \sqrt{4-{{left( x-5 right)}^{2}}}text{ for }3<xle 5 \end{matrix} right.$ And that $text{f}left(

2010 ACJC CT2 (a) Given the functions $text{f}:xmapsto 3{{x}^{3}}-4{{x}^{2}}-1$, $xge 1$,$text{g}:xmapsto {{text{e}}^{2-0.25{{x}^{2}}}}$, $xge -3$. (i) Explain why the functions ${{text{f}}^{-1}}$ and $text{gf}$ exist, [2] (ii) Find the exact value of