Thread: strict functions

Prove that if f is strictly increasing on a domain, D, then its inverse f^-1 is strictly increasing on f(D).

Originally Posted by franios

Prove that if f is strictly increasing on a domain, D, then its inverse f^-1 is strictly increasing on f(D).

This follows directly from the defintions.

A function is strictly increasing if

if

What is the domain of ?

What is the range of ?

You just need to show for all if

Can you show the defintion for the inverse holds using the above?