
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
This question is worth 12 points. Given the function $$f(x)= \sqrt {2-x}+ \frac {1}{ \sqrt {x^{2}-1}}$$ and the set A={x|m-2＜x＜2m}.
(1) Find the domain of the function f(x);
(2) If "x∈D" is a necessary condition for "x∈A", find the range of values for the real number m.

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