Question

For the function g(x)=squareroot(2x+3), find the domain and rage of g.

Answer 1

2x+3>0 so x>=-3/2 if it was less than -3/2 the inside of the squareroot would be negative and that number does not exist in real number system. For range If I remember it is normally y>0 for this function but since it is shifted up 3 it would now be y>=3