Let fx 7x 11 and g x 8x 15 a Find f compositefunction g

Let f(x) = 7x + 11 and g (x) = -8x + 15. a. Find (f compositefunction g) (x). b. Find (g compositefunction f) (x)

Solution:
(1)
f(x) = 7x+11
g(x) = -8x+15
=(fog)(x)
= 7(-8x+15)+11
= -56x + 105 +11
= -56x+116

(2) f(x) = 7x+11
g(x) = -8x+15
=(gof)(x)= -8(7x+11)+15
= -56x -88+15
= -56x-73