
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
Given that the graph of the function $y=f(x)$ is symmetric to the graph of $g(x)=\log\_ax$ ($a>0$ and $a\neq 1$) about the $x$-axis, and the graph of $g(x)$ passes through the point $(4,2)$.
(I) Find the analytical expression of the function $f(x)$;
(II) If $f(x-1)>f(5-x)$, find the range of $x$.

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