Question

Let f(x) = x + 3 and g(x) = . The graph of (fog)(x) is shown below.83-6 +5+432->4--2-2343*What is the range of (fºg)(x)?

Answer 1

we can notice the range from the graph, then we see the possible values of y

the graph can take all values of y except y=3 because the graph has an asymptote, never touch 3

the green line is the asymptote

then the range is

`(-\infty,3)U(3,\infty)`

or Real numbers except 3