
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
Given $g(x) = 2 - 3x^2$ and $f(g(x)) = \frac{2-3x^2}{x^2}$, find the value of $f\left(\frac{2}{3}\right)$ assuming $x \neq 0$.
A) $\frac{4}{9}$
B) $\frac{3}{2}$
C) $\frac{2}{3}$
D) $2$

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