
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
(1) Given that $f(x)$ is a linear function and satisfies $f[f(x)] = 4x + 3$, find the explicit expression for the function $f(x)$.
(2) Calculate the value of $64^{-\frac{1}{3}} - \left(-\frac{3\sqrt{2}}{2}\right)^0 + (2^{-3})^{\frac{4}{3}} + 16^{-0.75}$.

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