The title means that f(x)= 1/x is stretched vertically twice and compressed horizontally to the original 1/3 (then the center of symmetry is moved to [3, -2]). Is y=g (x), find y=g (x).
Stretching f(x)=2/x compressing f(x)=6/x moving f(x)=-2+6/(x-3)
If the translation passes through [3, -2]
The result is f(x)=6/(x-h) divided by [3, -2].
The function of h=6 is f(x)=6/(x-6).
My English is not very good either. Which one do you think is right?