How do you find the domain in interval notation for $f(x)=x/(x^3+8)$ ?

Question

1562 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-25T19:15:45

$(x^3 + 8) = (x^3+2^3) = (x+2)(x^2-2x+4)$

has only one zero for real values of $x$ , viz $x = -2$ .

$f(x)$ is well defined for all other values of $x$ .

So the domain of $f(x)$ is $(-oo, -2) uu (-2, oo)$

How do you find the domain in interval notation for f(x)=x/(x^3+8) f(x)=x/(x^3+8) ?