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For the function f(x) = (x2 + bx + c) ex and g(x) = (x2 + bx + c) ex + ex (2x + b), which of the following holds good ?

(A) f(x) > 0 for all real x ≠ g(x) > 0

(B) f(x) > 0 for all real x  g(x) > 0

(C) g(x) > 0 for all real x  f(x) > 0

(D) g(x) > 0 for all real x  f(x) > 0

1 Answer

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Correct option  (A)(C)

Explanation:

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