
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 $a > 0$, the function $f(x)=\ln ( \frac {x}{a}-1)+ \frac {1}{x}+ \frac {a}{2}$.
(I) Discuss the monotonicity of the function $f(x)$;
(II) When the function $f(x)$ has extreme values, let the sum of all the extreme values be $g(a)$, find the range of $g(a)$.

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