The graph of 1/3 * e^(x+1) is obtained from the graph of e^x by shifting it to the left by 1 and squeezing it towards the horizontal axis.

The graph of ln(3x)-1 is obtained from the graph of ln(x) by squeezing it around the vertical axis and then lowering it by 1.

Note also that since these functions are inverse, their graph are symmetric with respect to the line y = x.