Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP

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

, it is the amount of money earned per number of hours of work, x

Step-by-step explanation:

Here we have two functions:

This function represents the amount of money (the earning) per unit x

Then we have the function

which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.

Here we want to find the composite function

which means that we use the output of as input for . In this context, this means that the function represents the amount of money earned per number of hours of work, x.

Substituting g(x) into the x of f(x), we find:

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.