Question

Find (gof)(3)

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

A. -25
B. 1
C. 4
D. -15

Answer 1

A

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

Answer 2

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}}`

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