How do you determine if a function is invertible? How do you find the inverse of an invertible function? .

Question

Give an example.

Answer 1

I'm fairly certain that there is a procedure presented in your textbook on inverse functions.

It is based on interchanging letters x & y when y is a function of x, i.e. y = f(x).

Then solve for this (new) y, and label it f^-1(x).

 

If f(x) passes the HORIZONTAL LINE TEST (because f is either strictly increasing or strictly decreasing), then and only then it has an inverse.