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MHT CET202314 May 2023Morning ShiftMathematicsFunctionsActual

The range of the function f (x)= x^2 x^2+1 is

Options

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

Correct answer

B. [0,1)

Step-by-step solution

aligned & Let y= x^2 x^2+1 & y x^2+y=x^2 & x^2(y-1)+y=0 & x^2= y 1-y aligned For x to be real, aligned & y(1-y) 0 and 1-y 0 & y(y-1) 0 and y 1 & 0 y < 1 aligned

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