Question

what is the domain of f(x)= root (x-1)(x-2)​

Answer 1

${\large{\underline{\mathbb{\purple{ANSWER}}}}}$

$\rm{Seperate \;the\; function\; into\; two\; parts}$

$\sf{\sqrt{(x - 1)(x - 2)}}$

$\sf{x - 1}$

$\sf{x - 2}$

$\rm{Find \;all \;values\; for\; which\; the\; radicand\; is \;positive \;or \;0 \;domain\; is \;all \;real \;numbers}$

$\small \sf{x \in( - \infty ,1 ] } \cup [2, + \infty ) \\ \small\sf{x \in \mathbb{R}} \\ \small \sf{ x \in \mathbb{R}}$

$\rm{Find\; the\; intersection}$

$\to \small \bf{ x \in( - \infty, 1 ] \cup [ 2, + \infty )}$