
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
A function $h$ has domain $[-1, 2]$ and range $[0, 3]$. Define the function
\[ g(x) = h(2x) - 1.\]
Determine the domain of $g(x)$ and the range of $g(x)$, expressing your answer as an ordered quadruple $(a, b, c, d)$.

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