
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 the rational function $\frac{r(x)}{s(x)}$ where $s(x)$ is quadratic and $r(x)$ is linear, and knowing that $r(2)=2$, $s(1)=1$, and the graph has a vertical asymptote at $x=3$ and a hole at $x=0$, find $r(x) + s(x)$.

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