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Q) f(x)=(x-1)/(x+1).find the range. y=(x-1)/(x+1)on applying componendo and dividendo , we get : (y+1)/(y-1)=(x-1+x+1)/(x-1-x-1)=>(y+1)/(y-1)=2x/(-2)=x/(-1)so shouldn't it be =>x = -(y+1)/(y-1) = (-y-1)/(y-1)or should it be =>x = (1+y)/(1-y)Which is correct ?

Answer» Q) f(x)=(x-1)/(x+1).find the range.

y=(x-1)/(x+1)
on applying componendo and dividendo , we get :
(y+1)/(y-1)=(x-1+x+1)/(x-1-x-1)
=>(y+1)/(y-1)=2x/(-2)=x/(-1)
so shouldn't it be =>x = -(y+1)/(y-1) = (-y-1)/(y-1)
or should it be =>x = (1+y)/(1-y)
Which is correct ?


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