
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
Identify the pair of functions from the following groups that are the same. (Fill in the correct serial numbers)  
① $f(x) = \sqrt{(x-1)^2}$, $g(x)=x-1$  
② $f(x)=x-1$, $g(t)=t-1$  
③ $f(x)=\sqrt{x^2-1}$, $g(x)=\sqrt{x+1} \cdot \sqrt{x-1}$  
④ $f(x)=x$, $g(x)=\frac{x^2}{x}$.

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