
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) = $\frac{1}{\sqrt{4 + 3x - x^2}}$ with domain set A, and function g(x) = -x² - 2x + 2, x ∈ [-1, 1] with range set B.
(1) Find A and B;
(2) Let set C = {x | m ≤ x ≤ m + 2}, if C ∩ (A ∪ B) = C, find the range of real number m.

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