
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 $g(x)$ satisfy the equation $g(x - y) = g(x) g(y)$ for all real numbers $x$ and $y$. Also, assume $g(x) \neq 0$ for all real numbers $x$. Determine the value of $g(5)$.

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