
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 $$f(x)= \frac {x+3}{2-x}$$.
(1) If the graph of the function $f(x)$ is translated 2 units to the left and then 1 unit up, find the expression for the resulting function $g(x)$;
(2) Find the expression for the inverse function $f^{-1}(x)$ and its domain.

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