
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 the function $f(x)=3^{x}$, and $f(a+2)=18$, the domain of the function $g(x)=3^{ax}-4^{x}$ is $[-1,1]$.

(1) Find the analytical expression of the function $g(x)$;
(2) If the equation $g(x)=m$ has a solution, find the range of the real number $m$.

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