Answer:
x = 2
and
x = 3
Step-by-step explanation:
The function given is:
[tex]y=\frac{3x+6}{x^2-5x+6}[/tex]
In this fraction, the bottom part is the denominator. We need to set it equal to 0 and solve for 2 values of x.
[tex]x^2-5x+6=0\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-2)(x-3)=0\\x=2,3[/tex]
This is middle term factorization process. Hence the 2 solutions (roots) of the denominator is:
x = 2, 3
