
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 $$f(x)=\frac{1}{x}+\frac{1}{x+1}+\frac{1}{x+2}$$, it is known that the graph of the function $f(x-1)=\frac{1}{x-1}+\frac{1}{x}+\frac{1}{x+1}$ is symmetric about the point (-1, 0). By analogy, the graph of the function $$g(x)=\frac{x+2}{x+1}+\frac{x+3}{x+2}+...+\frac{x+7}{x+6}$$ is symmetric about the point \_\_\_\_\_\_.

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