Let f(x)=x+3 and g(x)=1/x. the graph of (f*g)(x) is shown below.

For this case we have the following functions:
  When composing the functions we have:
 
 Substituting values we have:
 
 Rewriting:
 
 The function has a horizontal asymptote at y = 3.
 Therefore, the range of the function is all reals minus y = 3.
 
 option 3