
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 functions $f(x)$ and $g(x)$ are provided in the table below:

| $x$ | $1$ | $2$ | $3$ |
|-----|-----|-----|-----|
| $f(x)$ | $1$ | $3$ | $1$ |

| $x$ | $1$ | $2$ | $3$ |
|-----|-----|-----|-----|
| $g(x)$ | $3$ | $2$ | $1$ |

Find the value of $x$ that satisfies $f[g(x)] > g[f(x)]$.

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