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Given the graph of the Logarithmic Function `g(x)=log_3 x`:

The graph of the function ` f(x)=\log_3 (x-2) ` can be obtained from the graph of ` g(x)=\log_3 x ` by shifting the graph of `g(x)` 2 units;


Identify the Domain and Range of `f(x)` using Interval Notation.

Domain of the function `f(x)` is  

Range of the function `f(x)` is