Answer
View graph below
Work Step by Step
Firstly, a basic function : [y=1/x]
Then: By translating the graph y=1/x one unit left y= 1/(1+x)
Then: By reflected the graph y= 1/(1+x) in x-axis y= -1/(1+x)
Then: By translated the graph y= -1/(1+x) two units up y=2-1/(x+1)