if y = f(x)= 1-x/1+x , show that x = f(y)
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Answer:
f(x)=
x−1
x+1
fof(x)=
f(x)−1
f(x)+1
=
x−1
x+1
−1
x−1
x+1
+1
=
x+1−x+1
x+1+x−1
=x
i)(fofof)(x)=f(fof(x))=f(x)=
x−1
x+1
ii)(fofofof)(x)=fof(fof(x))=fof(x)=x
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