SOLUTION: Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x), where one of the functions is 7x-3. h(x)=(7x-3)^8 f(x)= g(x)= thank you!!!

Algebra ->  Functions -> SOLUTION: Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x), where one of the functions is 7x-3. h(x)=(7x-3)^8 f(x)= g(x)= thank you!!!      Log On


   

Question 1115594: Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x), where one of the functions is 7x-3.
h(x)=(7x-3)^8
f(x)=
g(x)=
thank you!!!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

h%28x%29=%287x-3%29%5E8
f%28x%29=7x-3
g%28x%29= ?
Plug in g%28x%29 in place of x in the function f%28x%29 such that
h%28x%29=+f%28g%28x%29%29=+7g%28x%29-3
%287x-3%29%5E8+=++7g%28x%29-3
g%28x%29=%28%287x-3%29%5E8+%2B3%29%2F7