
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 \( f(x) \) be a monotonic function defined on \( (0, +\infty) \), such that for any \( x > 0 \), we have \( f(x) > -\frac{4}{x} \) and \( f\left(f(x) + \frac{4}{x}\right) = 3 \). Find \( f(8) = \qquad \) .

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