
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 $f(x)=\frac{{3{e^x}}}{{1+{e^x}}}$, then $f\left(x\right)+f\left(-x\right)=$____; if $\forall x\in \left(0,+\infty \right)$, the inequality $f\left(4-ax\right)+f(x^{2})\geqslant 3$ always holds, then the range of real number $a$ is ____.

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