
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 that the domain of the function f(x) = log$_{2}$( $\frac {2}{x+1}-1$) is set A, and the domain of the function g(x) = $\sqrt {(x-a)^{2}-1}$ is set B.

1. Find the intersection of sets A and B when a=1.
2. If set A is a subset of set B, find the range of possible values for a.

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