contestada

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)).

Respuesta :

Answer:

[tex]f(g(x))=6x^3} +4[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}[/tex]

Required:

f(g(x))=?

Solution:

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

so [tex]f(X)=2X^2+4[/tex]

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

[tex]f(g(x))=2(\sqrt{3x^3} )^2+4[/tex]

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

Otras preguntas