Question

Find the domain $\frac{x^3-5x+3}{x^2-1}$

Answer 1

$f\left(x\right)$ is not defined if $x^2-1=0$

$\Rightarrow x^2=1\Rightarrow x=1$ or $-1$

$\therefore$ Domain of $f\left(x\right)=R-\{-1,1\}$