im very vERY confused..
first of all,can anyone confirm to me if 'maximal' domain and 'domain' are the same?
i am trying to find maximal domain & range of these on the real line:
F(x) = x² + 2x – 3
F(x) = √ x² + 2x – 3
F(x) = 1/√ x² + 2x – 3
F(x) = (x² + 2x – 3) -⅓
aren't they all going to be the same?
factorising you get = (x+3)(x-1)
so domain is the whole real line except -3, 1
and range will be whole real line...! where am i going wrong.....