Answer: g(x) = 1/(x-1) - 3
Explanation:
Where would y = 1/x be located?
It would have an asymptote at each of the y and x axes.
This is shifted one to the right, and three down.
To shift one to the right:
y = 1/(x-1)
To shift three down:
y = 1/(x-1) - 3
And we're done!