Answer:
-25
Step-by-step explanation:
This question is asking for a composite function.
Let's take this step-by-step!
[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]
(g•f)(3) means [tex]g(f(3))[/tex]
In English, this means we put 3 into f(x), and use the result for g(x).
First let's do f(x):
[tex]f(3) = |3 + 2| = |5| = 5[/tex]
The lines mean "modulus"/"absolute value" which makes any number positive
For example,
[tex]|-3| = 3[/tex]
[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]
