Answer:
B is correct
Step-by-step explanation:
We are given two function f(x) and g(x). We need to calculate (f-g)(x)
[tex]f(x)=6x^3-4[/tex]
[tex]g(x)=2x+2[/tex]
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(6x^3-4)-(2x+2)[/tex]
Using Distributive property (-2x-2)
[tex](f-g)(x)=6x^3-4-2x-2[/tex]
Combine like terms (-4-2=-6)
[tex](f-g)(x)=6x^3-2x-6[/tex]
Thus, (f-g)(x)=6x³-2x-6.