if F: reals^2 --à reals ^2 is defined by F(u,v):=(u/(1+v),uv/(1+v) =: (x(u,v),y(u,v))

And W is the rectangle {(u,v) s.t. 0< or = u < or = 2, 0 < or equal v < or equal 1} in u-v space

could someone describe the image F(W) in x-y space by first showing F^(-1)[(x,y)]=(x+y,y/x)=: (u(x,y),v(x,y))