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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = ( x 2 ) - 1 , then on the interval [0, ] :

Options

  1. A(f(x)) and 1 f(x) are both continuous
  2. B(f(x)) and 1 f(x) are both discontinuous
  3. C(f(x)) and f⁻¹(x) are both continuous
  4. Df(x) is continuous but f⁻¹(x) is not

Correct answer

C. (f(x)) and f⁻¹(x) are both continuous

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