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MHT CET202015 Oct 2020Morning ShiftMathematicsFunctionsActual

If f(x)=x²-3 x+4 and f(x)=f(2 x+1) , then x=

Options

  1. A-1, 2 3
  2. B-1, 3 2
  3. C1, 3 2
  4. D1, 2 3

Correct answer

A. -1, 2 3

Step-by-step solution

array ll Here f (2 x +1) & =(2 x +1)²-3(2 x +1)+4 & =4 x ²+4 x +1-6 x -3+4 f (2 x +1) & =4 x ²-2 x +2 Given f ( x )= f (2 x +1) x ²-3 x +4=4 x ²-2 x +2 3 x ²+ x -2 =0 3 x ²+3 x -2 x -2=0 3 x ( x +1)-2( x +1)=0 ( x +1)(3 x -2)=0 x =-1, 2 3 array

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