
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 \\(f(x)=9^{x}-t\cdot3^{x}\\) and \\(g(x)= \dfrac {2^{x}-1}{2^{x}+1}\\), if there exist real numbers \\(a\\) and \\(b\\) that simultaneously satisfy \\(g(a)+g(b)=0\\) and \\(f(a)+f(b)=0\\), then the range of the real number \\(t\\) is \_\_\_\_\_\_.

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