
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 $$f(x)= \frac {2^{x}-1}{2^{x}+1}+x+\sin x$$, if the positive real numbers $a$ and $b$ satisfy $f(4a)+f(b-9)=0$, then the minimum value of $$\frac {1}{a}+ \frac {1}{b}$$ is \_\_\_\_\_\_.

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