
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 the function $f(x)=\left\{\begin{array}{l}2x-3,x<-1\\ 1,-1\leq x\leq 1\\ 2x-3,x>1\end{array}\right.$, with the domain defined as $R$. If $f\left[f\left(x\right)\right]=1$, then the set of values of $x$ is ______.

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