
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) = x² + 4x + 2 and g(x) = te^x (f'(x) - 2), where t ∈ R. The tangent line to the graph of function f(x) at point A (-17/8, f(-17/8)) is perpendicular to the tangent line to the graph of function g(x) at point B (0, g(0)).
(I) Find the value of t.
(II) If kg(x) ≥ 2f(x) holds true for x ∈ [2, +∞), find the range of the real number k.

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