Question

Find the Domain of function$f\left(t\right)=\frac{1}{t^2+2t-t-2}$

Answer 1

$f(+)=\frac{1}{t^2+2t-t-2}=\frac{1}{t^2+t-2}$

$t^2+t-2=(t-1)(t+2)$

$\therefore f\left(t\right)=\frac{1}{(t-1)(t+2)}$ not $d$ find

for $t=1,-2$

$\therefore$ Domain $=R-\{1,-2\}$