
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 $a>0$ and $a \neq 1$, the function f(x) is defined as $$f(x) = \begin{cases} a^{x+1} - 2, & x \leq 0 \\ g(x), & x > 0 \end{cases}$$ and is an odd function. Find the value of $f(g(2))$.

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