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Ответ:

Amyjoe23

03.06.2020

Mathematics

The value of f(g(x)) is $6x^{3} +4$

Explanation:

The function f(x) is given by

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

The function g(x) is given by

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

To determine the value of f(g(x)) , let us first substitute the value of g(x) .

Thus, we get,

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

Now, substituting for $x=\sqrt{3x^{3} }$ in the function f(x) , we get,

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

Simplifying, the expression, we get,

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

Multiplying the term within the bracket, we have,

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

Thus, the value of f(g(x)) is $6x^{3} +4$

Hence, the value of f(g(x)) represents the total amount of money that Barrett earns for working x hours.

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