Answer
Domain: (1, ∞)
Range: (-∞, ∞)
Asymptote: x = 1
See graph below
Work Step by Step
This problem just asks for the graph of the function, domain, range, and asymptote.
Given $f(x) = \log_{3} (x-1)$
The graph in black represents $\log_{3} x$
The function (in red) is a transformation of 1 unit to the right
Domain: (1, ∞)
Range: (-∞, ∞)
Asymptote: x = 1
