Question

Let f(x) = (4x^2 - 11)^3 and g(x) = 4x^2- 11.
Given that f(x) = (hºg)(x), find h(x).
Enter the correct answer.

Answer 1

Answer:

$\large\boxed{h(x)=x^3}$

Step-by-step explanation:

$f(x)=(4x^2-11)^3\\\\f(x)=(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=4x^2-11\\\\f(x)=(\underbrace{4x^2-11}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3$

Answer 2

Answer:

the person on top is correct

Step-by-step explanation: