
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 the increasing function $f(x)$, defined on $\mathbb{R}^+$, satisfy $f(2)=1$ and $f(xy)=f(x)+f(y)$.

1. Find the values of $f(1)$ and $f(4)$.
2. If $f(x) + f(5-x) > 2$, find the range of values for $x$.

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