
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 a function $f\left(x\right)$ with a domain of $R$ satisfies: ① $f\left(x+y\right)=f\left(x\right)f\left(y\right)$; ② $f(\frac{2}{3})=4$. Find an analytical expression for $f\left(x\right)$ that satisfies the conditions, $f\left(x\right)=\_\_\_\_\_\_$.

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