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Answer 1

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.