
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 $f(x) = \begin{cases} 1+ \frac {1}{x} & (x>1) \\ x^{2}+1 & (-1\leq x\leq 1) \\ 2x+3 & (x<-1)\end{cases}$, if $f(a) = \frac {3}{2}$, then $a= \_\_\_\_\_\_$.

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