
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 $f(x)= \dfrac {1}{1+x}$ (where $x\in\mathbb{R}$ and $x\neq -1$), and $g(x)=x^{2}+2$ (where $x\in\mathbb{R}$).

1. Find the values of $f(2)$ and $g(2)$.
2. Find the value of $f[g(3)]$.

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