The graph of the function $f(x)=2 + \log_3 x$ can be obtained from the graph of $g(x)=\log_3 x$ by one of the following actions:

(a) shifting the graph of $g(x)$ to the right 2 units;

(b) shifting the graph of $g(x)$ to the left 2 units;

(c) shifting the graph of $g(x)$ upward 2 units;

(d) shifting the graph of $g(x)$ downward 2 units;

Your answer is (input a, b, c, or d)

The domain of the function $f(x)$ is $x > A$, find $A$

The value of $A$ is

Is the range of the function $f(x)$ still $(-\infty,\infty)$?

Your answer is (input Yes or No)