
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 \( f_{1}(x)=-\frac{2x+7}{x+3}, \) and \( f_{n+1}(x)=f_{1}(f_{n}(x)), \) for \( x \neq -2, x \neq -3 \), find the value of \( f_{2022}(2021) \).

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