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Black Book Advanced Problems in MathematicsMathematicsFunctions

If the domain of f(x) = 1 ⁻¹ [ ₃ ( x^2 3 ) ] where, x > 0 is [a, b] and the range of f(x) is [c, d] , then :

Options

  1. Aa, b are the roots of the equation x^4 - 3x^3 - x + 3 = 0
  2. Ba, b are the roots of the equation x^4 - x^3 + x^2 - 2x + 1 = 0
  3. Ca^3 + d^3 = 1
  4. Da^2 + b^2 + c^2 + d^2 = 11

Correct answer

A. a, b are the roots of the equation x^4 - 3x^3 - x + 3 = 0

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