Let f(x) = (3x^2 - 10x - 25)/(x + 4) and g(x) = (3x^2 - 10x - 25)/(3x^2 + 12x + 10). Find the sum of all real numbers that are not in the domain of f(g(x)).
+37146 First ....no x values that cause the denominator of g(x) = 0 would be allowed
-2 +- sqrt(6)/3 not allowed
then any value of g(x) that causes denominator to f(x) = 0 is not allowed
this woud be when g(x) = -4
3x^2-10x-25 / (3x^2+12x+10) = - 4
3x^2-10x-25 = -12x^2-48x-40
15x^2 +38x+15 = 0
results in -19/15 +-2 sqrt(34)/15 not allowed
Summed = -2 + -2 + -19/15 + -19/15 = .................
