
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
Let \( f(x)=\frac{1+x}{1-3x}, \; f_{1}(x)=f[f(x)], \; f_{2}(x)=f\left[f_{1}(x)\right], \cdots, \; f_{n}(x)=f\left[f_{n-1}(x)\right], \cdots \). Find the value of the expression \( f(4.7) \).

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