2 years ago

Consider these functions

Mathematics

1 answer:

vitfil [10]2 years ago

5 0

9514 1404 393

Answer:

C. 3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

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

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maks197457 [2]

What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16

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