
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 that the function $f(x) = \log_{2}(\sqrt{x^{2}+a}-x)$ is an odd function on $R$, and $g(x) = t - |2x-a|$.

1. If the functions $f(x)$ and $g(x)$ have the same zeros, find the value of $t$.
2. If for all $x_{1}, x_{2} \in [-\frac{3}{4}, 2]$, $f(x_{1}) \leq g(x_{2})$, find the range of values for $t$.

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