Question

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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Answer 1

@elsa213

Answer 2

Or @astrid1

Answer 3

They never help me :(

Answer 4

that sucks

Answer 5

@dude

Answer 6

@astrid1

Answer 7

f(x) tells us how much money he makes based on the number of tickets he sells.

g(x) tells us how many tickets he sells in a certain amount of time.

What would f(g(x)) tell us?
Just merge the two concepts together... it would tell us how much money he makes based on what? Number of tickets? or time?

Answer 8

An example to help you connect the dots

he makes $100 when he sells 20 tickets
he sells 5 tickets in 1 hour

so now wouldn't you want to figure out how much money he makes in a certain amount of time?

Answer 9

and then to calculate f(g(x))

You replace the x in f(x) = 2x^2 + 16 with the equation for g(x) which is \(\sqrt{5x^3}\)

Replace the x in 2x^2 + 16 with \(\sqrt{5x^3}\) and simplify it