For two given functions f(x) and g(x), the composite function
(g ° f)(x) is: g(f(x))
Here we will find that the correct option is the last one:
(g°f)(x) = x²-2
To get this, we know that:
g(x) = x + 1
f(x) = x² - 3
Then:
(g°f)(x) = g(f(x))
So here we just need to evaluate g(x) in f(x):
g(f(x)) = f(x) + 1 = ( x² - 3) + 1 = x² - 3 + 1 = x² - 2
Then the correct option is 3:
(g°f)(x) = x²-2
If you want to learn more, you can read:
https://brainly.com/question/5614233
