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MHT CET202123 Sep 2021Morning ShiftMathematicsFunctionsActual

If f(x)= x 2 x+1 and g(x)= x x+1 , then (f g)(x)=

Options

  1. A2 x-1 x+1
  2. Bx 3 x+1
  3. Cx+1 x+2
  4. Dx-1 2 x+1

Correct answer

B. x 3 x+1

Step-by-step solution

aligned & (f g)(x)=f [ x x+1 ] & = ( x x+1 ) 2 ( x x+1 )+1 = x x+1 x+1 2 x+x+1 = x 3 x+1 aligned aligned & (f g)(x)=f [ x x+1 ] & = ( x x+1 ) 2 ( x x+1 )+1 = x x+1 x+1 2 x+x+1 = x 3 x+1 aligned

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