Question

Find functions f and g so that the composition of f and g is H.

H(x) = (5-2x^3)^2

Answer 1

If by composition you mean multiplication of the functions f(x) and g(x) then
$f(x) = g(x) = 5-2x^3$
If by composition you mean addition of the functions f(x) and g(x) then
$f(x) = 4x^6+25$
$g(x) = -20x^3$

Note:- I have provided one set of solutions. Apparently, there are infinite number of solutions for this question