Raul works at a movie theatre. The function f (x) represents the amount of money 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. Show all work to find f (g (x)), and explain what f (g (x)) represents.

Question

Mathematics

Vivian Chung

29 March, 15:47

Raul works at a movie theatre. The function f (x) represents the amount of money 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. Show all work to find f (g (x)), and explain what f (g (x)) represents.

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Talia · Answer 1

f (g (x)) represents:

The amount of money Raul earns f, depends of number of tickets he sells g, and that depends on the number of hours he works x.

Step-by-step explanation:

Given that the function f (x) represents the amount of money Raul earns per ticket, and 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.

Now,

The amount of money Raul earns per ticket is a function of the number of ticket he sells.

Likewise, the number of tickets he sells is a function of the number of hours he works.

Finally, f (g (x)) a composite function.

Which means that f is a function of g which is a function of x.

The amount of money Raul earns f, depends of number of tickets he sells g, and that depends on the number of hours he works x.