From f(x) = 1/x, you shift the horizontal asymptote a unit right to x = 1 to get f(x) = 1/(x - 1).
Then, multiply that by 4 to obtain the larger function value, which turns out to be f(x) = 4/(x - 1).
Finally, shift 3 units down to get f(x) = 4/(x - 1) - 3.
Good luck!
