how to show strictly increasing function on an interval has continuous inverse
65033
Prove inverse of strictly monotone increasing function is continuous over the range of original function
98462
Prove the inverse of a strictly increasing function is differentiable.
158349
Prove the map sending a matrix to it's inverse is continuous.
25921
Show that $\left(1+\dfrac{1}{n}\right)^n$ is monotonically increasing
17234
Show that a continuous function has a fixed point
25775
How to prove $(1+1/x)^x$ is increasing when $x>0$?
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
44607
Prove that a continuous function on a closed interval attains a maximum
113687
$f$ is continuous function from $ [0,1]$ to itself and f(0)=0, f(1)=1 and $f(f(x))=x$ then show that $f(x)=x$ on$[0,1]$
111485
Let $f(x)$ be continuous on [$0,1$] to $f(x)=0$ for each $x\in[0,1]$
15095
continuous onto map from $(0,1)\to (0,1]$
151493
Using $\epsilon$-$\delta$ to show a property of a function
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
50103
Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function
50725
Inverse of function is continuous or not?
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
9320
Extension of continuous function on a closed subset of $\mathbb{R}$