For example, find the inverse of f (x)=3x+2. 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 …

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 · 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 …

Jan 4, 2026 · The functions e x and ln (x) “undo” the effects of each other: ln (e x) = x and e ln (x) = x (for x> 0) so the functions e x and ln (x) are inverses of each other. This section will …

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 …

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is …

Oct 23, 2025 · Finding the inverse of a function requires a clear understanding of the steps to follow. To find the inverse relationship, reciprocate x and y. Use the inverse notation f⁻¹ (x) in …

So, consider the following step-by-step approach to finding an inverse: Solve for y, y, which will be the desired inverse function. As an exercise: Try on your own to confirm that (f−1 ∘ f)(x) = x (f 1 …