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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

If g(x) is twice differentiable real valued function satisfying g''(x) - 3g'(x) > 3 x 0 and g'(0) = -1 , then h(x) = g(x) + x x > 0 is :

Options

  1. Astrictly increasing
  2. Bstrictly decreasing
  3. Cnon monotonic
  4. Ddata insufficient

Correct answer

A. strictly increasing

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