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( and explain what f(g(x)) represents. f(x) = 2x2 + 4 g of x equals the square root of the quantity 3 x cubed

tex]f(g(x))= 2(3x^{3})+4\\f(g(x))=6x^{3}+4[/tex]

Step-by-step explanation:

Given

We will fnd f(g(x)) first. So,

The square root will be cancelled out with the square,

we will get

so we can see that f(g(x)) gives us the total amount of money Barrett earns for working x hours ..

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

this is a good question! i'll do some research and come back when i have the answer!