Given: [tex]f(x)=\dfrac{1}{x}[/tex]
[tex]g(x)=x+4[/tex]
We need to graph the composite function (gof)(x)
First we find composite function and then graph it.
[tex]gof(x)=g(f(x))[/tex]
[tex]gof(x)=g(\frac{1}{x})[/tex]
[tex]gof(x)=\dfrac{1}{x}+4[/tex]
Now, we find domain and asymptote of composite function.
For vertical asymptote, Denominator should be 0
VA: x=0
For horizontal asymptote.
HA: y=4
using given info to draw the graph.
Please see the attachment for graph.
