
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

Complete the incomplete proposition below making it a true proposition:

If the graph of the function $f(x)=3+\log_{3} x$ is symmetric with respect to $\qquad$, then the function $g(x)=$ $\qquad$ 
(Note: Fill in what you believe can make it a true proposition; you do not need to consider all possible situations.)

Present the answer in LaTex format: \boxed{Your answer}
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