Question

PLEASE HELP!! WILL MARK BRAINLIEST!!! I'M KINDA DESPERATE NOW!!!

Answer 1

Answer:

Part 1)

$f(g(x))=10x^3+16$

Part 2)

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

We are given the two functions:

$f(x)=2x^2+16$

Which represents the amount of money Raul earns per ticket and:

$g(x)=\sqrt{5x^3}$

Which represents the number of tickets Raul sells per hour.

Part 1)

We want to find f(g(x)).

So, we substitute g(x) for f(x). This yields:

$f(g(x))=2(\sqrt{5x^3})^2+16$

This can be expanded a simplified as such:

$f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16$

Part 2)

Recall that f(x) outputs the amount of money Raul earns per ticket.

And g(x) inputs the amount of hours Raul works.

When we composed f(g(x)), the input and output stayed the same.

So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).

Answer 2

Answer:

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation: