How do you find the domain and range of square root functions?
(1) Find the domain of y = sqrt{2x + 3}
(2) Find the domain of f(x) = sqrt{2x - x^2}
Well, it's not that hard to find the "why."
Let's use our brain: having For what values of is well defined? Yes, we require that 'cause can be zero, or positive, but it can't be negative, since square roots of negative numbers don't belong to the Real numbers, that's why we require
Now, by applyin' this to your problems, you'll see this does make sense.