
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 $f$ be a function with domain $[1,3]$ and range $[0,2]$. Define a new function $g$ by the formula
\[g(x) = 2 - f(x + 2).\]
Determine the domain and range of $g(x)$, and express your answer as an ordered quadruple $(a,b,c,d)$, where $[a,b]$ is the domain and $[c,d]$ is the range of $g$.

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