What are the discontinuities of the function f(x) = the quantity of x squared plus 6 x plus 9, all over 3 x plus 15.?

a. x ≠ −3
b. x ≠ −2
c. x ≠ −8
d. x ≠ −5

Assuming your function is 

nothing can be factored.
the only discontinuity arises where the denominator would be equal to 0. When x = -5 you will have a discontinuity because it makes the denominator equal to 0.