Answer
$g(-1) = 8$
$g(x+2) = x^{2} -6x - 19$
$g(-x) = x^{2} + 10x - 3$
Work Step by Step
$g(x) = x^{2} - 10x - 3$
$g(-1) = (-1)^{2} - 10(-1) - 3$
$= 1 + 10 - 3$
$= 11 - 3$
$= 8$
$g(x+2) = (x+2)^{2} - 10(x+2) - 3$
$= x^{2} + 4x + 4 - 10x - 20 - 3$
$= x^{2} -6x - 19$
$g(-x) = (-x)^{2} - 10(-x) - 3$
$= x^{2} + 10x - 3$
