Question:
Mark the correct alternative in the following:
Every invertible function is
A. monotonic function
B. constant function
C. identity function
D. not necessarily monotonic function
Solution:
Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on $(a, b)$ is that $f^{\prime}(x)>0$ for all $x \in(a, b)$
If $f(x)$ is strictly increasing function on interval $[a, b]$, then $f^{-1}$ exist and it is also a strictly increasing function