Question

Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​

Answer 1

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

Answer 2

The composite function as shown is $g(f(x)) =\sqrt{12x^3+32x^2}$

Composite functions

Given the following fnctions

$f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}$

The composite function g(f(x)) is expressed as:

$g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}$

Hence the composite function as shown is $g(f(x)) =\sqrt{12x^3+32x^2}$

Learn more on composite function here: brainly.com/question/10687170