Find all values of x not in the domain of h/g.?

Question

h(x) = x+8

g(x) = x^2+9x+18

Is this correct?

(x+8)/(x^2+9x+18)

(x^2+9x+18) = 0

x^2+9x=-18

x(x+9)=-18

x=-18, -27

Answer 1

the property of real numbers:

if A and B are real numbers

if AB = 0 then either A=0 or B=0

.. . . it wont work for any other value on the right side.

to solve for

x^2 + 9x + 18 = 0

use factoring

(x+3)(x+6) = 0

thus

x = -3, -6

.. . .. .