What is the inverse of f(x)=ln(x-6)

Solve
y = ln(x - 6)
e^y = x - 6  Take the inverse. Interchange y and x
e^x = y - 6
y = e^x + 6

Remark
One of the ways you can check you answer is to see if the two graphs (the original and the inverse) are symmetrical about the line of y = x. What that means is that if you stuck a mirror on y = x, the reflection would look like a mirror image.

In this case The red line looks like the mirror image of the blue line and the green line is y = x where the mirror goes.

You need to include the original coordinates of the triangle to answer this. and how much does it translate (move left right up down)

10.4 is the answer for you