Question

How do you graph `f(x)=ln (x-1)+2`?

Answer 1

The standard graph of `lnx` shifted +1 unit on the x axis and +2 units on the y axis.

Explanation:

`f(x) = ln(x-1)+2`

If `x' = x-1 -> x= x'+1`

Then: `f(x') = lnx + 2`

Hence: `f(x)` is `lnx` shifted +1 unit on the x axis and +2 units on the y axis. This is shown by the the grapg of `f(x)` below:

graph{ln(x-1)+2 [-3.04, 16.96, -3.92, 6.08]}