
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
Consider a function \( g(x) \) defined for all real numbers \( x \) that satisfies
\[ g(x - y) = g(x) + g(y) - 1 \]
for all real numbers \( x \) and \( y \), and \( g(x) \neq 0 \) for all \( x \). Find \( g(4) \).

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