
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
Suppose \( f \) and \( g \) are polynomials, and that \( h(x) = f(g(x)) + g(x) \). Find the degree of \( g(x) \) given that the degree of \( h(x) \) is \( 9 \) and the degree of \( f(x) \) is \( 3 \).

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