
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
If the real number \( x \) satisfies \( \arcsin x > \arccos x \), then the range of the function
\[ 
f(x) = \sqrt{2x^{2} - x + 3} + 2^{\sqrt{x^{2} - x}} 
\]
is ______.

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