
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 a function $f(x)$ defined on $(0, +\infty)$ that satisfies for any positive real numbers $x$ and $y$: 
1. $f(2) = 1$; 
2. When $x > 1$, $f(x) > 0$; 
3. $f\left(\frac{x}{y}\right) = f(x) - f(y)$.

(1) Determine the monotonicity of the function $f(x)$;  
(2) If $f(t) + f(t-3) \leq 2$, find the range of values for $t$.

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