So for this, we will be adding f(x) and g(x) together and setting (f + g)(x) to 0 as such:
[tex]x^2-2x+6x+4=0[/tex]
Firstly, combine like terms:
[tex]x^2+4x+4=0[/tex]
Next, the left side of the equation is a perfect square. Factor it:
[tex](x+2)^2=0[/tex]
Next, square root both sides:
[tex]x+2=0[/tex]
Lastly, subtract 2 on both sides and your answer will be [tex]x=-2[/tex]
