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:

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 .

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 …

Nov 16, 2022 · For each of the following functions find the inverse of the function. Verify your inverse by computing one or both of the composition as discussed in this section.

Nov 13, 2025 · Another example of inverse pair is the exponential and logarithm function, both are inverse of each other. For an exponential function f (x) = ax, its inverse is given by logarithm …

Free inverse functions GCSE maths revision guide, including step by step examples, exam questions and free worksheet.

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.

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.

In these lessons, we will learn what is a one-to-one function, what is the Inverse of a Function and how to find the Inverse of a Function. Many examples with step-by-step solutions will be shown.