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) = + 4
g(x) =

The value of is

Explanation:

The function is given by

The function is given by

To determine the value of , let us first substitute the value of .

Thus, we get,

Now, substituting for in the function , we get,

Simplifying, the expression, we get,

Multiplying the term within the bracket, we have,

Thus, the value of is

Hence, the value of represents the total amount of money that Barrett earns for working x hours.