
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 function f(x) = $$\begin{cases} x^{ \frac {1}{3}，0<x<1} \\ 4(x-1)，x≥1\end{cases}$$, if f(a) = f(a+1), then find f($$\frac {1}{a}$$).

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