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 .

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 …

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.

Explore inverse functions in mathematics, including their definition, properties, and step-by-step examples. Learn how functions and their inverses are related, when inverses exist, and how to find …

Inverse functions are used in everyday conversions—like changing temperature between Celsius and Fahrenheit, swapping coordinates in geometry, or decrypting information in computer science. Board …

Sep 28, 2025 · Understanding how to find the inverse of a function is a fundamental concept in algebra and calculus. This process allows you to “undo” the original function, revealing its reverse relationship.

Definition: The inverse of a function is when the domain and the range trade places. All elements of the domain become the range, and all elements of the range become the domain. Therefore, the inverse …