Question

I have no clue what to do here

Answer 1

f(x) = 5x² + 2, g(x) = 2x³

f(g(x)) = f(2x³) = 5(2x³)² + 2 = 5(4x⁶) + 2 = 20x⁶ + 2

g(f(x)) = g(5x² + 2) = 2(5x² + 2)³

Hope it helps and maybe watch some math videos so you can get the ideas, Continue to put in effort, thank u.

Explanation:

Answer 2

f(x) = 5x² + 2, g(x) = 2x³

f(g(x)) = f(2x³) = 5(2x³)² + 2 = 5(4x⁶) + 2 = 20x⁶ + 2

g(f(x)) = g(5x² + 2) = 2(5x² + 2)³

f(g(x)) is a function of degree 6.

g(f(x)) is a function of degree 6.