Answer:
The answer to your question is (g°f)(x) = 7
Explanation:
Data
g(x) = 3x - 2
f(x) = x + 5
(g°f)(-2)
Process
1.- Evaluate g(x) on f(x)
(g°f)(x) = 3(x + 5) - 2
-Expand
(g°f)(x) = 3x + 15 - 2
-Simplify
(g°f)(x) = 3x + 13
2.- Evaluate (g°f)(x) on -2
(g°f)(-2) = 3(-2) + 13
-Expand
(g°f)(-2) = -6 + 13
-Simplify
(g°f)(x) = 7