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Let f x =- x 2 + x + p , where p is a real number. If g x = f x and g x is discontinuous at x = 1 2 , then p cannot be (where . represents the greatest integer function)

Options

  1. A1 2
  2. B3 4
  3. C7 4
  4. D- 1 4

Correct answer

A. 1 2

Step-by-step solution

f x = - x - 1 2 2 + p + 1 4 If g x is discontinuous at x = 1 2 , then f 1 2 should be an integer. Hence, p cannot be 1 2

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