How to solve this math problem regarding composition of functions?

Can you explain how to solve this problem:

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

H(x) = (x - 4)^3 f(x)= g(x)=

Bullwinkle2013-09-28T11:20:06Z

Favorite Answer

f(x) = x^3
g(x) = (x - 4)

f(g(x)) = (x - 4)^3 = H(x)

euclid

Faisal2013-09-28T18:19:18Z

Define f(x) = x-4
Define g(x) = x^3
Define H(x) = g[f(x)] = g(x-4) = (x-4)^3

Hope that helps.