Answer: -72x^2 -96x -32
Explanation:
(g o f)= 2(3x + 2)^2 (g o f)= put f(x) into g(x)
= 2(3x + 2)(3x + 2) (expand the squared term)
=2(3x(3x + 2)+2(3x + 2)
=2(9x^2 +6x +6x + 4)
=2(9x^2 +12x +4) (multiply each term by 2)
=18x^2 + 24x +8
(g o f)(-4)= (18x^2 + 24x +8)(-4) (multiply each term by -4)
=-72x^2 -96x -32