For the function, f(x) = 3x + 4 and g(x) = x2 − 2
𝑓
(
𝑥
)
=
3
𝑥
+
4
𝑎
𝑛
𝑑
𝑔
(
𝑥
)
=
𝑥
2
−
2
find (f ° g)(−2)
(
𝑓
°
𝑔
)
(
−
2
)
Responses
show your work
To find (f ° g)(-2), we need to first find g(-2) and then plug that result into the function f.
1. Find g(-2):
g(x) = x^2 - 2
g(-2) = (-2)^2 - 2
g(-2) = 4 - 2
g(-2) = 2
2. Now, plug g(-2) into f(x):
f(x) = 3x + 4
f(2) = 3(2) + 4
f(2) = 6 + 4
f(2) = 10
Therefore, (f ° g)(-2) = 10.