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MHT CET202617 April 2026Morning ShiftMathematicsFunctionsActual

If f(x) = x+2 x^2-3x+1 , then the values of x for which f(x) is not defined are

Options

  1. Ax = 3+ 5 2 , x = 3- 5 2
  2. Bx = -3+ 5 2 , x = -3- 5 2
  3. Cx = 3+ 3 2 , x = 3- 3 2
  4. Dx = 2+ 5 2 , x = 2- 5 2

Correct answer

A. x = 3+ 5 2 , x = 3- 5 2

Step-by-step solution

The function f(x) = x + 2 x^2 - 3x + 1 is not defined when its denominator is zero. Setting the denominator to zero: x^2 - 3x + 1 = 0 Using the quadratic formula x = -b b^2 - 4ac 2a with a=1 , b=-3 , and c=1 : x = -(-3) (-3)^2 - 4(1)(1) 2(1) x = 3 9 - 4 2 x = 3 5 2 Thus, the values of x for which f(x) is not defined are x = 3 + 5 2 and x = 3 - 5 2 .

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