
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 $g$ is a function and $g^{-1}$ is the inverse of $g$. If $g(4)=7$, $g(6)=2$, and $g(3)=9$, evaluate $g^{-1}\left(g^{-1}(9)+g^{-1}(7)\right)$.

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