Question 362916
{{{y=x/(x-2)}}}
Interchange the positions of x and y and solve for y.
This new y will be the inverse of g(x).
{{{highlight(x)=highlight(y)/(highlight(y)-2)}}}
{{{x(y-2)=y}}}
{{{xy-2x=y}}}
{{{xy-y=2x}}}
{{{y(x-1)=2x}}}
{{{y=(2x)/(x-1)}}}
{{{highlight(g^(-1)(x)=(2x)/(x-1))}}}