We want the range of (f o g)(x).
The range is the set of y-values for which a function is defined.
Looking at the graph, we can see that the rational function graph as a horizontal asymptote at y = 3. Otherwise, the function is defined for all real values of y.
Thus, we can say that the range is all real values of y EXCEPT y = 3.
From the answer choices,
third choice is right
"all real numbers except y = 3"