Question

Find the domain of definition of the following function.
$y=\frac{1}{x-1}+\sqrt{2+x}.$

Answer 1

$y=\frac{1}{x-1}+\sqrt{2+x}$

$x-1\ne 0$

$x\ne 1$

$2+x\ge 0$

$x\ge -2$

So,Domain of $y=[-2,\infty )-\left\{1\right\}$