
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
The function \( f(x) \) satisfies the equation
\[ f(x - y) = f(x)g(y) \]
for all real numbers \( x \) and \( y \), where \( g(y) = e^{-y} \), and \( f(x) \neq 0 \) for all real numbers \( x \). Find \( f(5) \).

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