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Let f:(-1,1) B , be a function defined by f(x)= ⁻¹ 2 x 1-x^2 , then f is both one-one and onto when B is the interval

Options

  1. A(0, 2 )
  2. B[0, 2 )
  3. C[- 2 , 2 ]
  4. D( 2 , 2 )

Correct answer

D. ( 2 , 2 )

Step-by-step solution

Given f(x)= ⁻¹ ( 2 x 1-x^2 ) for x (-1,1) clearly range of f(x)= (- 2 , 2 ) . co-domain of function =B= (- 2 , 2 ) .

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