If `y=f(x)=((x+2))/((x-1)),t h e n``x=f(y)`(b) `f(1)=3``y`increases wi – InterviewSolution

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1.	If `y=f(x)=((x+2))/((x-1)),t h e n``x=f(y)`(b) `f(1)=3``y`increases with `xforx
Answer» Correct Answer - A::D Given, `y=f(x)=(x+2)/(x-1)` `rArr yx-y=x+2 rArr x(y-1) = y+2` `rArr x=(y+2)/(y-1) rArr x=f(y)` Here, f(1) does not exist, so domain ` in R-{1}` `(dy)/(dx)=((x-1)1-(x+2)1)/((x-1)^(2))` `= -(3)/((x-1)^(2))` `rArr` f(x) is decreasing for all ` x in R -{1}.` Also, f is rational function of x. Hence, (a) and (d) are correct options.

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