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AP EAMCET202022 Sep 2020Morning ShiftMathematicsFunctionsActual

For f(x)= ( 1 |x| x^2-1 ) the domain and range of f(x) in R are

Options

  1. AR- 0, 1 and [-1,1] , respectively
  2. BR-[-1,1] and [-1,1] respectively
  3. CR- 0, 1 and [0,1] , respectively
  4. DR-[-1,1] and [0,1] , respectively

Correct answer

B. R-[-1,1] and [-1,1] respectively

Step-by-step solution

Given function f(x)= ( 1 |x| x^2-1 ) For the domain, |x| 0 x 0 and x^2-1>0 x R -[-1,1] So domain of f is R-[-1,1] and we know the range of sine function is [-1,1] .

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