1 Answer

Pini Reznik · Answer 1 · 2023-12-02T20:54:33+0000

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

$(f\circ g)(x)$

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

$(f\circ g)(x)=3((x+2))^2$

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

Additionally, the expression

$(f\circ g)(-5)$

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

$(f\circ g)(-5)=3(-5+2)^2=3(-3)^2=3(9)=27$

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