Let f(x) = (3x^2 - 10x - 25)/(x + 2) and g(x) = (3x^2 - 10x - 25)/(3x^2 + 11x + 10). Find the sum of all real numbers that are not in the domain of f(g(x)).
For one, we know that x cannot equal -2 because f(-2) is either undefined or indeterminate.
To find the numbers that aren't in the domain of g(x), we set the bottom to 0.
So 3x^2 + 11x + 10 = 0
(3x + 5)(x + 2) = 0,
x = -5/3, -2
-2 + (-2) + (-5/3) = -4 - (5/3) = -17/3
Uhm I'm not very good at functions and this stuff so there's a lot of room for errors :/. Please correct me if I'm wrong.