
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
The function \( g \) has the property that for each real number \( x \) in its domain, \( 1/x^2 \) is also in its domain and
\[
g(x) + g\left(\frac{1}{x^2}\right) = x^2.
\]
What is the largest set of real numbers that can be in the domain of \( g \)?

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