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## Homework Statement

Given two functions f(x)=\frac{x}{x+1} , g(x)=\frac{x+2}{x}

(1) find the domain of f and g

so D_f all real x , [tex]x\neq -1[/tex]

D_g is all real x , [tex]x\neq 0[/tex]

(2) Find the composite function gf and state its domain and range

g o f = 3+ 2/x , then its domain would be all x , [tex]x\neq 0[/tex] , am i correct ?

What is the easiest way to find its range , graph sketching ?