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, 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 .

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:

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) = …

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 …

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 …

The inverse function of $f$ is simply a rule that undoes $f$'s rule (in the same way that addition and subtraction or multiplication and division are inverse operations.)

Learn what inverse functions are in Maths, how to find them step by step, their properties, graphs, and real-life uses with solved examples.

Let’s understand the steps to find the inverse of a function with an example. Let us consider a function f (x) = a x + b. Step 1: For the given function, replace f (x) by y. In other words, substitute f (x) = y. Put …

In this article, we’ll explore inverse functions examples that illustrate their significance and practical applications. This method shows how applying an inverse function effectively leads you to the …