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AP EAMCET202418 May 2024Morning ShiftMathematicsFunctionsActual

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

Options

  1. A(x+2)^2
  2. B(x-2)^2
  3. C( x +2)^2
  4. D( x -2)^2

Correct answer

A. (x+2)^2

Step-by-step solution

Given, f(x)= x-1 and, g f(x) =x+2 x +1=( x )^2+2 x +1^2 g f(x) =( x +1)^2 (i) Let, f(x)= x -1=t x =t+1 By (i), g( t )=( t +1+1)^2 g(x)=(x+2)^2

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