Question

Proof help please!
Theorem Let f be a strictly monotone function on an interval I, and let g be its inverse, defined on B=f(I). Then g is continuous on B

Answer 1

So I need to show that when \(x_o\) is an endpoint of I, that it is continuous.

Answer 2

any idea @SithsAndGiggles ?

Answer 3

or @Zarkon ?

Answer 4

Is this real analysis? I didn't do so well in that class, but I found what seems to be the exact same problem here, listed as the third theorem: http://www.math.jhu.edu/~js/Math405/405.monotone.pdf

Answer 5

thanks, and yea, it's proving calc essentially. I just don't know where to even start