
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 odd function $$f(x)= \frac {ax+b}{x^{2}+1}$$ is increasing on the interval (-1, 1), and $$f( \frac {1}{2})= \frac {2}{5}$$  
① Determine the explicit formula of the function $f(x)$.  
② Solve the inequality $f(t-1)+f(t)<0$.

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