Question

If f is an invertible function that is increasing in [a,b], then \[f^{-1}\] is also an increasing function.
plz tell answer.
(true/false with correct statement in support of your answer)

Answer 1

I do believe this is generally false because whenever an inverse is involved I believe it makes itself perpendicular to the function by 90 degrees, or orthogonal. Therefore if a function is increasing, the inverse would have to be decreasing. Check to see about that orthogonal bit though, it's been a while since I've had to mess with it all,but I'm pretty sure that is the case.

Answer 2

an function's inverse if reflected about the y=x line, so if it's increasing it's inverse is aswell.