Define g : (-1,1) → R by g(x) = 1- x2 Identify a bijection h : (0, 1) → (–1, 1); you don't have to show that this is a bijection. Then show that |(0,1)| = |IR| by identifying explicitly a bijection...

 Define g:(-1,1) + R by g(x) = 1 - 22 Identify a bijection h : (0,1)+(-1,1); you don't have to show that this is a bijection. Then show that |(0,1)] = |R| by identifying explicitly a bijection from (0, 1) to R. Explicit: stated in terms of a formula (not necessarily simplified)

Extracted text: Define g : (-1,1) → R by g(x) = 1- x2 Identify a bijection h : (0, 1) → (–1, 1); you don't have to show that this is a bijection. Then show that |(0,1)| = |IR| by identifying explicitly a bijection from (0, 1) to R. Explicit: stated in terms of a formula (not necessarily simplified)