Question

Let f(x)=(4x^2-11)^3 and g(x)=4x^2-11. Given that f(x)=(h*g)(x), find h(x).

Answer 1

All your doing is dealing with exponents since the functions inside the parentheses are the same.

divide:

(4x^2-11)^3/(4x^2-11)

cancel bottom function and your left with (4x^2-11)^2