Question

Inverse functions are defined as relationships that undo each other mathematically

Exponential functions increase rapidly, how would you describe the behavior of an inverse function to that?

Answer 1

Inverse of exponential functions are logarithmic functions.

Explanation:

Inverse functions exhibit a relationship where they undo each other mathematically. In this case, the inverse of an exponential function is a log function, where;

An exponential function y=a^x has its inverse as x=a^y

This exponential equation x=a^y is equivalent to the function y= logₐ x under the conditions; x=a^y : a>0 , a≠1