The curve $y=\mathrm{g}\left( x \right)$ undergoes the transformations $A$, $B$ and $C$ in s

Question

The curve $y=\mathrm{g}\left( x \right)$ undergoes the transformations $A$, $B$ and $C$ in succession: $A$: a translation of 1 unit in the positive $x$-direction, $B$: a scaling parallel to the $x$-axis with scale factor $\frac{1}{2}$, and $C$: a translation of $3$ units in the positive $y$- direction. Find an expression for $\mathrm{g}\left( x \right)$ if the equation of the resulting curve is $y=3-\frac{1}{2x-1}$.[3]

Accepted Answer

$\mathrm{g}\left( x \right)=-\frac{1}{x}$

2015 JJC Promo Q4

2015 JJC Promo Q4

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