Invertible Function Definition
Inverse of a function is denoted by f -1
In other words, we can define it as, If f is a function the set of ordered pairs obtained by interchanging the first and second coordinates of each ordered pair in f is called the inverse of f. Let’s understand this with the help of an example.
Example:
function g = {(0, 1), (1, 2), (2,1)}, here we have to find the g-1
As we know that g-1 is formed by interchanging X and Y co-ordinates.
g = {(0, 1), (1, 2), (2, 1)} -> interchange X and Y, we get
g-1 = {(1, 0), (2, 1), (1, 2)}
So this is the inverse of function g.
Invertible Functions
As the name suggests Invertible means “inverse“, and Invertible function means the inverse of the function. Invertible functions, in the most general sense, are functions that “reverse” each other. For example, if f takes a to b, then the inverse, f-1, must take b to a.
Table of Content
- Invertible Function Definition
- Graph of Invertible Function
- Conditions for the Function to Be Invertible
- How to find If a Function is Invertible?
- Inverse Trigonometric Functions
- Finding Inverse Function Using Algebra
- FAQs