domain 3-2x>0....as square root cant be negative....so x < 3/2..for range you should see think a bit......we have to take the values of x lesser than 3/2....now 3/2 is largest value we can take...put 3/2 in f(x) so we get x = 0....also we can take all negative values of x for f(x)...so it goes till infinity...and we have outcomes till positive infinity..so the range is 0 to +infinity...where x belongs to (-infinity, 3/2)