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Black Book Advanced Problems in MathematicsMathematicsFunctions

The function f(x) = ⁻¹ x + ⁻¹ ( x 2 + 3-3x^2 2 ) , then :

Options

  1. ARange of f(x) is [ 3 , 10 3 ]
  2. BRange of f(x) is [ 3 , 5 3 ]
  3. Cf(x) is one-one for x [-1, 1 2 ]
  4. Df(x) is one-one for x [ 1 2 , 1 ]

Correct answer

B. Range of f(x) is [ 3 , 5 3 ]

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