Respuesta :

Hello here is a solution :

(f-g)(x) =f(x) - g(x) 
            = (4x²-3)-(x+1)
            = 4x² -x -4   ( answer :D)

Answer:

Option D is correct

The value of [tex](f-g)(x)[/tex] is, [tex]4x^2-x-4[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = 4x^2-3[/tex]

[tex]g(x) = x+1[/tex]

We have to find [tex](f-g)(x)[/tex]

[tex](f-g)(x) = f(x)-g(x)[/tex]

Substitute the given functions we have;

[tex](f-g)(x) = 4x^2-3-x-1[/tex]

⇒[tex](f-g)(x)=4x^2-x-4[/tex]

Therefore, the value of [tex](f-g)(x)[/tex] is, [tex]4x^2-x-4[/tex]