Which expression represents the composition [g o f o h] (x) for the functions below?

f (x) = 5x - 4

g (x) = 5x3

h (x) = 3x

Answer: 16875x³-13500x²+3600x-320

Step-by-step explanation:

[gοfοh] (x) means g (f (h (x))). So you plug in h (x) into f (x) and that into g (x).

f (3x) = 5 (3x) - 4=15x-4

g (f (3x)) = 5 (15x-4) ³

g (f (3x)) = 5 (3375x³-2700x²+720x-64)

g (f (3x)) = 16875x³-13500x²+3600x-320