Answer:
A
Step-by-step explanation:
to find (g ￮ f)(3) , evaluate f(3) and substitute the value obtained into g(x)
f(3) = | 3 + 2 | = 5 , then
g(5) = - 5² = - 25
First of all, we replace the unknown "x" by "3".
We put the function "f" inside the function "g".
[tex]g( |3 \: + \: 2| ) \: = \: - |3 \: + \: 2| ^{2} [/tex]
[tex]g( |5| ) \: = \: - |5| ^{2} [/tex]
[tex]g(5) \: = \: - 5 ^{2} [/tex]
[tex]g(5) \: = \: \boxed{ \bold{ - 25}}[/tex]
[tex] \text{A. } \: \boxed{ \bold{-25}}[/tex]
