Question

find the domain of the given function.
f(x)=\frac{x - 15}{x^{3}+x}
the domain of f is
(type your answer in interval notation.)

Explanation:

Step1: Set denominator not equal to 0

$x^{3}+x
eq0$

Step2: Factor the denominator

$x(x^{2} + 1)
eq0$
Since $x^{2}+1>0$ for all real $x$, then $x
eq0$.

Answer:

$(-\infty,0)\cup(0,\infty)$