
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
Determine the analytical expression for the function:
(1) Find the linear function $f(x)$ such that $f[f(x)] = 9x + 1$;
(2) Given $f(x-2) = x^2 - 3x + 1$, find $f(x)$.

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