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medium · GMAT Quantitative Reasoning

A piecewise quality control model uses a function f(x) defined for all non-zero real numbers x by f(x) = begincases 3x^2 + 4x - 2, & x > 0 -3x^2 + 4x + 2, & x < 0 endcases.

For all x ≠ 0, which of the following represents the closed-form value of g(x) = f(x) + f(-x)?

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

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