Question

What is the domain of the function?

Answer 1

The domain is the set of allowed input x values for the function. In this case, the domain is the inequality x > -8 (note the vertical asymptote at x = -8 in which the function never touches)

If you want to write the domain in interval notation, then you would write $(-8, \infty)$ which is the interval from -8 to positive infinity (excluding both endpoints)