For this case we have the following functions:
[tex]f (x) = x + 7\\g (x) = \frac {1} {x}[/tex]
We must find [tex](f_ {0} g) (x):[/tex]
By definition:
[tex](f_ {0} g) (x) = f (g (x))[/tex]
So, evaluating g(x) in f(x) we have:
[tex](f_ {0} g) (x) = f (g (x)) = \frac {1} {x} +7[/tex]
ANswer:
[tex]\frac {1} {x} +7[/tex]
Option D
