
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
Let 
\begin{align*}
f(x) &= 2x + 9, \\
g(x) &= \sqrt[3]{f(x)} - 3, \\
h(x) &= f(g(x)).
\end{align*} 
What is \( h(3) \)?

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