
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 $f(x)= \dfrac {2x}{x^{2}+6}$.  
$(1)$ If the solution set of $f(x) > k$ is $\{x|x < -3$ or $x > -2\}$, then the value of $k$ is _______;  
$(2)$ For any $x > 0$, $f(x)\leqslant t$ always holds, then the range of $t$ is _______.

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