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A financial risk model defines an asset volatility function f(x) for non-zero real risk scores x by f(x) = 3x^2 - 4x + 6 when x > 0, and f(x) = x^2 - 4x - 6 when x < 0.

For all risk scores satisfying |x| ≥ 2, which of the following is the simplified expression for g(x) = f(x) + f(-x)?

  1. 6x^2 + 12
  2. 2x^2 - 12
  3. 4x^2 - 8x
  4. 0
  5. 4x^2

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