What is the domain and range for the following function and its inverse? f(x) = x^2 + 3?

y = x^2 + 3 A function is defined as a process that gives a single output for each qualified input. All qualified inputs are called domain, and all possible outputs are called range. The domain is all real numbers and the range is y>=3

The plot looks like this: http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E2+%2B+3

"Inverse" means to solve for x.

y = x^2 + 3

x^2 = y - 3

x = √(y - 3) This is not a function because every input gives two outputs.