Question

Find domain and range . If $y=\sqrt{x-1}$

Answer 1

$y=\sqrt{x-1}$

$x-1>0$

$\Rightarrow x>1$

$\therefore x\in [1,\infty ]$

$y=\sqrt{x-1}$

$\Rightarrow y\ge 0$

$\therefore y\in [0,\infty )$

$\therefore$ Range $\Rightarrow [0,\infty )$

Domain $\Rightarrow [1,\infty )$.