Question

College Algebra: reviewing for Final Exam!!
State the domain of the following function in interval notation:
(function is in the comments)

Answer 1

\[f(x)=\frac{ 5 }{ \sqrt{x+7} }\]

Answer 2

look at the denominator
taking the square root want that to be positive
when x = -7 would be dividing by 0
when x >-7 then you have the square root of a positive number