For this case we have that by definition of composition of functions that:
[tex](f_ {0} h_ {0} g) = f (h (g (x)))[/tex]
So:
[tex]h (g (x)) = 4 (x-2) -1 = 4x-8-1 = 4x-9[/tex]
So:
[tex]f (h (g (x))) = \frac {4x-9 + 4} {4x-9} = \frac {4x-5} {4x-9}[/tex]
ANswer:
[tex](f_ {0} h_ {0} g) = \frac {4x-5} {4x-9}[/tex]
Option D
