I have the function g(s,t) = [(st+1)/(st-1),(s-t)/(st-1),(s+t)/(st-1)], and I need to find its image.
I know that every point on the image of g lies on the hyperboloid x^2 + y^2 - z^2 = 1.
The Attempt at a Solution
I am very inexperienced with linear algebra, and I need to solve this problem for tomorrow. The problem is, I don't even really understand exactly what an image is. I read that it is like the function's range, but I don't even really know how to define the range of a function in 3D. Could someone please walk me through the steps for how to solve this problem?