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AP EAMCET202316 May 2023Morning ShiftMathematicsFunctionsActual

Let f : R R be a function defined by f ( x )= 2 x +1 3 . If is an element in the domain of f whose image is 1 , then the sum of all possible values of such is

Options

  1. A-1 2
  2. B1 2
  3. C5 2
  4. D0

Correct answer

A. -1 2

Step-by-step solution

Given that : f(x)= 2 x+1 3 ...(i) Also, f( )= 1 aligned & 2 +1 3 = 1 & 2 ^2+ =3 2 ^2+ -3=0 & ( -1)(2 +3)=0 & =- 3 2 , 1 aligned Then sum of all possible value of =- 3 2 +1=- 1 2

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