Find the domain of the following function do show your work

Find the domain of the following function (do show your work; give the answer using interval notation): f(x) = Squareroot x + 5/(x - 2) (x + 6)

Solution

Putting (x-2)(x+6) = 0, we get x = 2 or x = -6

Also for x less than -5, sqrt(x+5) is not defined.

Therefore, the domain of the function is:

[-5, 2) U (2, infinity)