
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 $f(x)= \begin{cases} 1,x > 0 \\ 0,x=0 \\ -1,x < 0\end{cases},g(x)= \begin{cases} 1,x{\text{ is rational}} \\ 0,x{\text{ is irrational}}\end{cases}$, find the value of $f(g(π))$.

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