An inverse function goes the other way! Let us start with an example: Here we have the function f (x) = 2x+3, written as a flow diagram:

The process to find inverse functions is applied to solve the following examples. Each example has its step-by-step solution to learn how to find inverse functions.

Nov 13, 2025 · For example, if a function turns 2 into 5, the inverse function will turn 5 back into 2. In mathematical terms: If functions f (x) and g (x) are inverses of each other, then f (x) = y only if g (y) = …

Examples of Inverse Function Example 1: Find if the functions f (x) = 2x + 3 and g (x) = (x - 3) /2 are inverses of each other using the inverse function formula.

Inverse functions are functions which reverse or “undo” another function. To write the inverse of the function f f, we use the notation f 1 f −1. We have seen how to use a function machine to work …

We examine how to find an inverse function and study the relationship between the graph of a function and the graph of its inverse. Then we apply these ideas to define and discuss properties of the …

What is an Inverse Function? Let f be a 1 − 1 function with domain A and range B. Then, its inverse function , denoted by f − 1, has domain B and range A and is defined by: f − 1(y) = x ⇔ f(x) = y for …