G (x) = 3x - 2

f (x) = x + 5

Find (gºf) (-2)

The answer to your question is (g°f) (x) = 7

Step-by-step 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