
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 linear fractional transformation of \( x \): 
\[ f_{1}(x)=\frac{2x-1}{x+1} \]
For \( n = 1, 2, 3, \ldots \), define 
\[ f_{n+1}(x) = f_{1}\left[f_{n}(x)\right] \]
It is given that \( f_{35}(x) = f_{5}(x) \). Find \( f_{28}(x) \).

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