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Rudik [331]
3 years ago
9

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!!!

Mathematics
2 answers:
azamat3 years ago
7 0

f(x) = 0.5x   -   money per ticket

g(x) = 8x   -   tickets per hour

We replace g(x) with its value (8x).

f(g(x)) = f(8x)

We replace the x in f(x) with 8x.

f(8x) = 0,5 × 8x

f(8x) = 4x

<u>⇒ f(g(x)) = 4x</u>

<u></u>

Correct answer:

a.<em> f(g(x)) = 4x, which represents the money Aurora made in dollars per hour</em>

statuscvo [17]3 years ago
6 0

Composing functions means to use the output of the inner function as the input for the outer function.

In this case, the inner function is g(x)=8x, which means that Aurora sells 8 tickets per hour.

So, if we give 8x (number of tickets sold) as input to the function f(x)=0.5x, we'll get

f(x)=0.5x \implies f(8x)=0.5(8x)=4x

Since the function f tells us how much Aurora gains per ticket, f(g(x)) basically means:

Aurora gains 0.5 dollars per ticket, and she sells 8 ticket per hour, so she gains 4 dollars per hour.

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