You can
put this solution on YOUR website!The domain of f(x) are x values where f(x) exists
f(x)=4x^2-2x-6 and g(x)=2x-3
when you have polynomial functions then domain is R (real numbers)
then domain of f,g and f-g is R
when you have f/g the problem is when g(x)=0 because you can not divide by 0
so the domain are all real numbers where g(x) is not 0
then domain of (f/g)(x) is Real numbers but not 3/2 (R-{3/2})