
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
Define the function $g(x) = \frac{x^2 + 3x + 2}{x^2 - 3x + 2}$. For $x^2 \neq 2$, compute $g(-x)$.
**A)** $\frac{1}{g(x)}$
**B)** $-g(x)$
**C)** $\frac{1}{g(-x)}$
**D)** $-g(-x)$
**E)** $g(x)$

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