What is f(g(x)) when f(x) = 5x + 3, and g(x) = 3x2 + 3? A) f(g(x)) = 8x^2 + 6 B) f(g(x)) = 15x^2 + 18 C) f(g(x)) = 75x^2 + 90x + 30 D) f(g(x)) = 255x^2 + 270x + 84

Question

asked Apr 22, 2021 4.4k views

1 Answer

Keith Holliday · Answer 1 · 2021-04-26T12:48:54+0000

Answer:

B) f(g(x)) = 15x² + 18

Explanation:

Plug the entire equation of g(x) in for the x in f(x)

f(g(x)) = 5(3x² + 3) + 3

f(g(x)) = 15x² + 15 + 3

f(g(x)) = 15x² + 18