Question

Find (g•f)(3)
f(x) = |x + 2|
g(x)=-x^2

Answer 1

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

$f(x) = |x + 2|\\g(x) = -x^2$

(g•f)(3) means $g(f(3))$

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

$f(3) = |3 + 2| = |5| = 5$

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

$|-3| = 3$

$f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25$