Respuesta :

This question is about the composition of functions.

Remember that a composition of two functions refers to one function inside of another, so the expression

[tex](f\circ g)(x)[/tex]

means that function g(x) is inside f(x), so let's get that expression first

[tex](f\circ g)(x)=3((x+2))^2[/tex]

Notice that we replaced g(x) inside the variable of f(x), that's the composition.

Additionally, the expression

[tex](f\circ g)(-5)[/tex]

means that we need to substitute -5 for x, let's do it

[tex](f\circ g)(-5)=3(-5+2)^2=3(-3)^2=3(9)=27[/tex]

Therefore, the right answer is D. 27.