Question

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.

f(x) = 2x2 + 4
g of x equals the square root of the quantity 3 x cubed

i am having trouble solving this due to the fact even with notes i cant understand solving hopefully someone else can help me

Answer 1

Answer:

short version: you substitute g(x) into the x of f(x):

f(g(x))=f(<3x^3)=2(<3x^3)^2+4=6x^3+4

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