Find Domain and give answer in interval notation

Question

2. Find the domain of the following function, and give the answer in interval notation:

 

 

                √x

h(x)=    ________
           x² + 8x + 15

Answer 1

domain considerations; x≥0 so that the square root can be computed; denominator is (x+3)(x+5) and so neither -3 nor -5 can be in the domain (vertical asymptotes are here, corresponding to attempted division by zero).

So obviously the domain is [0,infinity)