Question 579453
where is the function y=((x^(2)-4))/(x^2 + 3x + 2) discontinuous? 

discontinuous where the denominator is zero, so find the roots:

{{{x^2+3x+2=0}}}
<br>
Factor the trinomial:
<br>

(x+2)(x+1) = 0

x = -2, -1

<br> Verify with graph:

{{{ graph( 300, 300, -10, 10, -10, 10, (x^2-4)/(x^2+3x+2))}}}