How do you find the domain of  sqrt(x^2+2x-24)?

May 24, 2017

the domain is: ]-oo,-6]uu[4,+oo[

Explanation:

You cannot have negative values under a square root, then it must be:

${x}^{2} + 2 x - 24 \ge 0$

The zeros of the polynomial ${x}^{2} + 2 x - 24$ are

$x = - 1 \pm \sqrt{1 + 24} = - 1 \pm 5$

that are $x = - 6$ and $x = 4$

then the domain is:

]-oo,-6]uu[4,+oo[