Respuesta :
Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2+1\text{ and } g(x)=-3[/tex]
And we want to find:
[tex](g\cdot f)(x)[/tex]
This is equivalent to:
[tex]=g(x)\cdot f(x)[/tex]
Substitute:
[tex]=(-3)\cdot (x^2+1)[/tex]
Distribute:
[tex]=-3x^2-3[/tex]
Therefore:
[tex](g\cdot f)(x)=-3x^2-3[/tex]
So, our answer is A.