
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
If the point $(4,8)$ is on the graph of $y=f(x)$, and $p(x)=\sqrt{f(x)}$ for all $x$ where $f(x) \geq 0$, then there must be a specific point on the graph of $y=p(x)$. What is the sum of the coordinates of that point?

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