Question

F(x)=x-1/x+1 then when f[f(x)] is

Answer 1

Answer:

f(x)=x-1/x+1

f[f(x)] = f ( x-1/x+1 )

        = { (x-1/x+1 ) - 1 }/{ (x-1/x+1) + 1}

        = { ( x -1 - (x + 1 ) )/( x + 1)  }   ÷  { ( x-1 + x +1) /( x+1) }

        = -2 / 2x

        = - 1/x (answer )

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Answer 2

f(x) = (x-1) / (x+1)

f(f(x)) = [f(x)-1] / [f(x)+1]

        = {[x - 1] / [x + 1]} - 1 / {[x - 1] / [x + 1]} + 1

        =  [-2 / (x+1)] / [2x / (x+1)]

        = -1/x