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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = cases e^ x-1 & ; 0 x 1 x + 1 - x & ; 1 < x < 3 cases and g(x) = x^2 - ax + b such that f(x)g(x) is continuous in [0, 3) then the ordered pair (a, b) is (where denotes fractional part function) :

Options

  1. A(2, 3)
  2. B(1, 2)
  3. C(3, 2)
  4. D(2, 2)

Correct answer

C. (3, 2)

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