
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 the function $g(x)$ is defined on the domain $\{a, b, c\}$ such that its graph, $y=g(x)$, contains exactly three points. These points form a triangle with an area of $45$ square units. 

Evaluate the area of the triangle formed by the graph of $y = 3g\left(\frac{x}{3}\right)$.

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