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5 August, 19:33

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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  1. 5 August, 19:50
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    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.
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