
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) = $$\begin{cases} \overset{x^{2}+a,x\geq 0}{3x+2,x<0}\end{cases}$$
(1) If the graph of the function passes through the point (1, -1), find the value of f(f(0));
(2) If the equation f(x) = 4 has a solution, find the range of values for a.

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