Find the range and domain of y=x+1/x+2.

Answers (1)

Solution:  We have , 

                 y=fracx+1x+2.

         For domain  x+2
eq 2Rightarrow D:R--2.

         For range , cross multiply  y(x+2)=(x+1)

                                          yx+2y=x+1Rightarrow x(y-1)=1-2y

      Rightarrow                        x=frac1-2yy-1   Thus range: R-1.                  

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