Let f(x)=x^2-1 and gof (x)=x- x +1 Which one of the following is a possible expression for g(x)?

Step-by-step solution

aligned & Given, f ( x )= x ^2-1 , go f ( x )= x - x +1 & ~g f ( x ) = x - x +1 & ~g ( x ^2-1 )= x - x +1 & Let, x ^2-1= t x ^2=1+ t x =(1+ t )^ 1 / 2 & ~g ( t )=(1+ t )^ 1 / 2 -(1+ t )^ 1 / 4 +1 & ~g ( x )= 1+ x - [4] 1+ x +1 aligned