I was wondering if I did this part of my homework correctly. Thanks your input would be greatly appreciated.

State the domain of the following:

f(x)=sqrt x+4

domain= x >=0

g(x)=(2x+1)/(x-7)

domain= all numbers x different form 0

h(x)=3x^2+5x-3

domain = all real numbers

l(x)=2x+3

domain = all real numbers

e) m(x)=3/(x^2+7)

domain = all numbers x different from 0