Answer:
Given
f(x) = 3x + 2
g(x) = (x + 3) / (2x - 10)
#1
g · f(x) =
g(f(x)) =
(3x + 2 + 3)/ (2(3x + 2) - 10) =
(3x + 5) / (6x - 6)
#2
f · g(x) =
f(g(x)) =
3[(3x + 2) / (2x - 10)] + 2 =
(9x + 6) / (2x - 10) + 2 =
(9x + 6 + 4x - 20)/ (2x - 10) =
(13x - 14) / (2x - 10)
Step-by-step explanation:
