Given f (x) = 2x + 7 and g(x) = -2x2 - 5x + 7, find the following:
f(x) = 2x + 7; g(x) = -2x^2 - 5x + 7
(f+g)(x) = (2x + 7) + (-2x^2 - 5x + 7)
(f+g)(x) = 2x + 7 -2x^2 -5x + 7
(f+g)(x) = -2x^2 - 3x + 14
(f-g)(x) = (2x + 7) - (-2x^2 - 5x + 7)
(f-g)(x) = 2x + 7 + 2x^2 + 5x -7
(f-g)(x) = 2x^2 + 7x
(f*g)(x) = (2x +7)(-2x^2 - 5x + 7)
(f*g)(x) = -4x^3 -10x^2 +14x -14x^2 -35x + 49
(f*g)(x) = -4x^3 -24x^2 -11x + 49
(f/g)(x) = (2x + 7)/(-2x^2 - 5x + 7)
(f/g)(x) = (2x + 7)/(2x + 7)(-x + 1)
(f/g)(x) = 1/(-x + 1)
(f ° g)(x) = 2(-2x^2 - 5x + 7) + 7
(f ° g)(x) = -4x^2 -10x + 14 + 7
(f ° g)(x) = -4x^2 -10x + 21