Answer:
(fg)(-2) = 18
Explanation:
f(x) = 8 – 10x
g(x) = 5x + 4
To find (fg)(-2) or f(g(-2)), first let's find g(-2) by subbing -2 in for x in g(x):
g(x) = 5x +4
g(-2) = 5(-1) +4 = -5+4 = -1
Knowing g(-2)=-1, we can now find f(g(-2)) by subbing -1 in for x in f(x):
f(x) = 8 – 10x
f(-1) = 8 - 10(-1) = 8+10 =18