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MHT CET202210 Aug 2022Evening ShiftMathematicsFunctionsActual

If the function f: R- -1,1 A defined by f(x)= x^2 1-x^2 is surjective, then A is equal to

Options

  1. AR-[-1,0)
  2. BR- -1
  3. C0, )
  4. DR-(-1,0)

Correct answer

A. R-[-1,0)

Step-by-step solution

For f(x) to be a surjective function A= range of f(x) now, y= x^2 1-x^2 aligned & x^2= y 1+y & x= y 1+y aligned for x to be real y 1+y 0 aligned & y (- ,-1) [0, ) & Range of f(x) is R [-1,0) & A is R [-1,0) aligned

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