22 days ago

Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP!!!!!!!!!!!!!

Mathematics

1 answer:

PIT_PIT [9.1K]22 days ago

7 0

Response:

$f(g(x))=6x^3+4$ , indicating the amount of earnings per working hours, designated as x

Detailed Explanation:

We have two distinct functions to analyze:

$f(x)=2x^2 +4$

This function delineates the earnings based on units of x

Then the second function is

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

which illustrates the quantity of gallons of ice cream produced by Barrett each hour, with x representing the hours worked.

Our aim is to determine the composite function

$f(g(x))$

resulting from substituting the output of $g(x)$ as input for $f(x)$ . Within this framework, the function $f(g(x))$ signifies the amount of money accrued per number of working hours, x.

By substituting g(x) into the x variable of f(x), we obtain:

$f(g(x))=2(g(x))^2+4=2(\sqrt{3x^3})^2+4=2(3x^3)+4=6x^3+4$

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