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Aleksandr [31]
3 years ago
14

Watch rep

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

The value of f\,\circ\,g(-8) is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable (x) of f(x) by g(x):

f(x) = x^{2}-3\cdot x -12 (1)

g(x) = -x-12 (2)

f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12 (3)

f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12

f\,\circ\,g(x) = x^{2} +27\cdot x +168

f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168

f\,\circ\,g(-8) = 16

The value of f\,\circ\,g(-8) is 16.

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