Question

4. If f(x)= x/x-1 ,x ne1
(a) Find fof * (x)
(b) Find the inverse of f

Answer 1

Answer:

f(x)=x−1x+1

fof(x)=f(x)−1f(x)+1=x−1x+1−1x−1x+1+1=x+1−x+1x+1+x−1=x

i)(fofof)(x)=f(fof(x))=f(x)=x−1x+1

ii)(fofofof)(x)=fof(fof(x))=fof(x)=x

Step-by-step explanation:

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