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)) ?

We are given –

When we apply to elements x the function f, getting , and then we apply g to , we get , that is, .The function is another example of a function composed of g with f. .To find , we will replace the variable with the formation law of , so we'll find .

Henceforth, .

____________________________________________

The answer would be c