
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 the function $f(x)= \begin{cases} 4^{x}, & x\leqslant 0 \\ \log_{9}x, & x > 0\end{cases}$, then $f(f( \frac {1}{27}))=$ ______ ; when $f(f(x_{0}))\geqslant \frac {1}{2}$, the range of $x_{0}$ is ______.

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