
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
Find the inverse functions for the given functions:

1) \( y = 3x - 5 \)
2) \( y = \sqrt{1 - x^3} \)
3) \( y = \arcsin(3x) \)
4) \( y = x^2 + 2 \)

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