Answer:
a) 17
b) 6
c) 4x - 9
Explanation:
f(x) = 2x - 3
g(x) = 4x + 2
a) f(g(2)):
g(2) = 4(2) + 2 = 8 + 2 = 10
f(10) = 2(10) - 3 = 20 - 3 = 17
b) g(f(2)):
f(2) = 2(2) - 3 = 4 - 3 = 1
g(1) = 4(1) + 2 = 4 + 2 = 6
c)f(f(x)):
f(x) = 2x - 3
f(f(x) = 2(2x - 3) - 3
= 4x - 6 - 3 = 4x - 9