Answer: a) 36x + 3
b) 36x + 27
c) 16x + 15
d) 81x
Explanation:
f(x) = 4x + 3 g(x) = 9x
a) f(g(x)) = 4(9x) + 3 replaced x in f(x) equation with 9x
= 36x + 3
b) g(f(x)) = 9(4x + 3) replaced x in g(x) with 4x + 3
= 36x + 27
c) f(f(x)) = 4(4x + 3) + 3 replaced x in f(x) with 4x + 3
= 16x + 12 + 3
= 16x + 15
d) g(g(x)) = 9(9x) replaced x in g(x) with 9x
= 81x