Answer
$g(x)$
Work Step by Step
(See table 4.5,
Transformations involving Logarithmic functions)
The parent function is $f_{1}(x)=\log_{3}x$,
graphed with a dashed black line (see below).
To obtain the given graph, we
1. shift it one unit to the right
So the given graph is the graph of
$f_{1}(x)+1=\log_{3}x+1=g(x)$