Question

Find the domain of the real valued rational function $f$ given below
$f\left(x\right)=1/(x^3+x^2-2x)$

Answer 1

for domain, we have to find out the values at which function is defined

$x^3+x^2-2x\ne 0x\ne -2,0,1$

$x\in (-\infty ,-2)\cup (-2,0)\cup (0,1)\cup (1,\infty )$