Question 783530
You are making the mistake of thinking "I cannot divide by zero, so set x+6 equal to zero to find the values of x that aren't allowed". This would work if the equation was y = 1/(x+6), but it's nothing like this


What you need to do is solve {{{x+6>=0}}} (see note below) for x to get {{{x >= -6}}}


So the domain is really <font color="red">[-6, &#8734;)</font>



Note: remember you cannot take the square root of a negative number, so that's why the radicand {{{x+6}}} must be positive or 0, so that's why you must solve {{{x+6>=0}}} for x