Question

G(x) = 3x – 2
f(x) = x + 5
Find (gºf)(-2)​

Answer 1

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