Question

f(x) = (x^2-2)/(x^2+2x+2)

the domain of this function?

Answer 1

$f(x)=\dfrac{x^2-2}{x^2+2x+2}\\\\The\ domain\ D:\\\\x^2+2x+2\neq0\\a=1;\ b=2;\ c=2\\\\\Delta=b^2-4ac\\\\\Delta=2^2-4\cdot1\cdot2=4-8=-4 < 0\\\\therefore\\\\Answer:\boxed{D=\mathbb{R}}\to\ any\ real\ number$