The graph y=ln(x) is translated 7 units to the left and 4 units upward. the transformed equation is

When x is replaced by x - h, the graph shifts h units to the right if h is positive and h units to the left if h is negative.
When y is replaced by y - k, the graph shifts k units up if k is positive, and k units down is k is negative.

(1/x + 1)^2 + 6 (1/x + 1) +5