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:

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 …

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 i.e., …

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.

Notice that it is not as easy to identify the inverse of a function of this form. So, consider the following step-by-step approach to finding an inverse: Solve for $y,$ which will be the desired inverse function.