
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) = $$\begin{cases} x+5, x \leq -2 \\ x^{2}, -2 < x < 2 \\ \frac {1}{x}, 2 \leq x < 10\end{cases}$$
(1) Write out the domain of f(x);
(2) Find the values of f(-2) and f(f(f(-2)));
(3) If f(m) < 2, find the range of m.

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