Question

Determin x if f(g(x))=0 for the following

f(x) = 3x-2

g(x) =5x+5

Answer 1

3(5x+5) - 2 = 0

15x + 15 - 2 = 0
15x = -13
x = -13/15

check:
g(-13/15) = 5(-13/15) + 5
= 2/3

f(2/3) = 3(2/3) - 2
= 2-2 = 0

my answer is correct