Question

Find (gof)(3) f(x) = |x+2| g(x) = -x^2 A. -25 B. 1 C. 4 D. -15

Answer 1

First of all, we replace the unknown "x" by "3".

We put the function "f" inside the function "g".

$g( |3 \: + \: 2| ) \: = \: - |3 \: + \: 2| ^{2}$

$g( |5| ) \: = \: - |5| ^{2}$

$g(5) \: = \: - 5 ^{2}$

$g(5) \: = \: \boxed{ \bold{ - 25}}$

Answer:

$\text{A. } \: \boxed{ \bold{-25}}$

MissSpanish

Answer 2

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