Respuesta :

Answer: Option D

[tex](f-g)(x) = 7x^2 -2x -5[/tex]

Step-by-step explanation:

We have two functions:

[tex]f (x) = 7x ^ 2 +4\\\\g (x) = 2x + 9[/tex]

We must find (f-g)(x)

Then we must subtract the function f and the function g.

Therefore we have that:

[tex](f-g) (x) = f (x) -g (x)\\\\(f-g) (x) = 7x ^ 2 +4 - (2x + 9)\\\\(f-g) (x) = 7x ^ 2 -2x -5[/tex]

Therefore the correct option is the last option (Option D)  [tex](f-g)(x) = 7x^2 -2x -5[/tex]