Let f(x) = x for x in [0,1], and f(x) = 1 +x for x in [1,2]. Show that f and f^-1 are strictly increasing and are they continuous at every point.
I do see that f^-1 is continuous at every point [0,1] union (2,3].
Let f(x) = x for x in [0,1], and f(x) = 1 +x for x in [1,2]. Show that f and f^-1 are strictly increasing and are they continuous at every point.
I do see that f^-1 is continuous at every point [0,1] union (2,3].