[tex]g(x) = \dfrac{3x^2 + 5x + 2}{x^2+ 4x + 3} [/tex]
[tex]g(x) = \dfrac{ (3x + 2)(x + 1)}{ (x + 3)(x + 1)}
[/tex]
[tex]g(x) = \dfrac{3x + 2}{x + 3}[/tex]
when g(x) = 0,
[tex] \dfrac{3x + 2}{x + 3} = 0[/tex]
[tex]3x + 2 = 0[/tex]
[tex]3x = -2[/tex]
[tex]x = -\dfrac{3}{2} [/tex]
