
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) Find the domain of the function \( y=\frac{\sqrt{x^{2}-4}}{\log _{2}\left(x^{2}+2 x-3\right)} \).

(2) Given that the domain of the function \( f(x) \) is \([-1,1]\), find the domain of \( f(a x)+f\left(\frac{x}{a}\right) \).

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