The graph of $y=\mathrm{g}\left( x \right)$ undergoes the following sequence of transformations, \

Question

The graph of $y=\mathrm{g}\left( x \right)$ undergoes the following sequence of transformations, $A$: Translation of $1$ unit in the positive $x$-direction, $B$: Reflection in the $y$-axis, $C$: Scaling by factor $2$ parallel to the $x$-axis, $D$: Translation of $1$ unit in the negative $y$-direction. Given that the equation of the resulting graph is $y=\frac{x}{2}+\frac{2}{x}$, find $y=\mathrm{g}\left( x \right)$, showing your working clearly.[4]

Accepted Answer

$\mathrm g(x)=-x-\frac1{x+1}$.

2017 EJC Promo Q5

2017 EJC Promo Q5

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