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Reika [66]
2 years ago
10

Barrett works at an ice cream shop. The function f(x) represents the amount of money in dollars Barrett earns per gallon of ice

cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. f(x) = 2x2 + 4 g(x) = the square root of three times x cubed Find f(g(x)).
Mathematics
1 answer:
Paha777 [63]2 years ago
5 0

Answer:

f(g(x))=6x^3} +4

Step-by-step explanation:

Given:

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

Required:

f(g(x))=?

Solution:

let f(g(x))=f(X), where X=g(x)

so f(X)=2X^2+4

put X=g(x)=\sqrt{3x^3}, we get

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

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

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