Solutions. We can build the functions H and J from these two simpler functions.
H(x) = g(f(x)): (first multiply by two and add one, then cube) andIn order to decompose K, we note that when K is applied to a real number x, it first multiplies x by 6 and subtracts 5; the last (or outermost) step is to take the square root. We therefore take m to be the linear function given by m(x)=6x-5. We find that
J(x) = f(g(x)): (first cube, then multiply by two and add one).