Question

Consider these functions

Answer 1

9514 1404 393

Answer:

C. 3x² +24

Explanation:

Use the given function definitions and simplify.

`g(f(x))=g\left((1)/(3)x^2+4\right)\\\\=9\left((1)/(3)x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}`