Raul works at a movie theatre. the function f(x) represents the amount of money in dollars raul earns per ticket, where x is the number of tickets he sells. the function g(x) represents the number of tickets raul sells per hour, where x is the number of hours he works.

f(x) = 3x2 + 16

g(x) = the square root of five times x cubed

find f(g(

Step-by-step explanation:

The function f(x) represents the amount of money in dollars Raul earns per ticket, where x is the number of tickets he sells. This is represented by the function,

f(x) = 3x2 + 16 - - - - - - -1

The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. The function is represented by

g(x) = the square root of five times x cubed

g(x) = √(5x^3)

To find f(g(x)), we substitute g(x) into f(x).

f(g(x))= 3[√(5x^3)]^2 + 16

.

Step-by-step explanation:

The given functions are

We need to find the function f(g(x)).

On simplification, we get

Therefore, the required function is .