
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
Consider four function graphs, labelled (2) through (5). The domain of function (3) is now $$\{-5, -4, -3, -2, -1, 0, 1, 2, 3\}.$$ Determine the product of the labels of the functions which are invertible. The function expressions and domains for the other functions are:
- Function (2): $f(x) = x^2 - 4x + 3$ over the domain $[-1, 4]$
- Function (4): $g(x) = -\tan(x)$ over the domain $(-\frac{\pi}{2}, \frac{\pi}{2})$
- Function (5): $h(x) = 5/x$ over the domain $(-\infty, -0.2) \cup (0.2, \infty)$

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