"One cannot expect that the inverse of a one-to-one order preserving function will always be order preserving" - Why is it so?
128867
Inverse of order preserving transformation
50664
Inverse function of $\operatorname{li}(x)$ over $x>\mu$?
38679
Intuition on the direction of steepest ascent always being orthogonal to the level set of the function
148888
How does the inverse transform method work?
44224
Understanding the order() function
151575
Differentiable bijection $f:\mathbb{R} \to \mathbb{R}$ with nonzero derivative whose inverse is not differentiable
145875
Inverse of a bijection f is equal to its derivative
44148
Functions that are their own inverse.
78307
Under what conditions is $AA^T$ invertible?
973
Is the property "being a derivative" preserved under multiplication and composition?
16034
Function whose inverse is also its derivative?
42809
How can we show that $(I-A)$ is invertible?
24306
Is there a continuous function $f(x)$ such that the inverse function is $1/f(x)$?
108633
Why $f^{-1}(f(A)) \not= A$
123132
Counterexample for a non-measurable function?
110014
Right Inverse for Surjective Function
142490
Alternative proof for differentiability of inverse function?