Question

Find functions f and g so that
\[h(x) = (f ∘ g)(x).

h(x) = (6x - 14)^8\]

Answer 1

How do I find these functions

Answer 2

You know that f of g(x) means that you substitute g(x) in the equation f(x). This is just working backwards.
f(x) = x^8
g(x) = (6x-14).
Since you substitute g(x) in f(x), you'd get (6x-14)^8. Checked.

Answer 3

Skim this page a little for concepts http://www.regentsprep.org/Regents/math/algtrig/ATP7/compositionfunctions.htm