Express the function F in the form f o g

Question

Express the function F in the form f o g .  Use non-identity functions for
f(x) and g(x).)

 

F(x) = (x − 6)8

 

(f(x), g(x)) = ?  

Answer 1

Do you mean F(x) = (x - 6)⁸?

 

If so, then let g(x) = x - 6 and f(x) = x⁸

 

f(g(x)) = f(x - 6) = (x - 6)⁸ = F(x)