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

the person on top is correct

Explanation:

Answer 2

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

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`