When Does An Inverse Function Exist?
I have understood that an inverse of a function exists when the relation is one to one. It is clear to understand when the function is a whole number. But how do you apply that rule to an equation? What are the steps involved?
The book directly answered that:
f(x) = 3x - 4 the inverse of the function exists
f(x) = (2x - 3) / (x -7); x is not equal to 7 the inverse of the function does not exist
f(x) = (x^2) - 1 the inverse of the function does not exist
What are the steps in between?