Inverse Function Calculator: Find f⁻¹(x) Easily
Struggling with inverse functions? Use our online Inverse Function Calculator to easily find the inverse of any function f(x) for a given y. Visualize the function and its inverse graphically.
The value for which you want to find the inverse function.
Enter the function of x. Use JavaScript syntax for functions (e.g., Math.sin(x), Math.sqrt(x)).
Function Visualization
Understanding Inverse Functions
In mathematics, an inverse function reverses the operation of another function. If a function f takes an input x and produces an output y, the inverse function, denoted as f⁻¹, takes y as an input and produces x as the output. In simpler terms, if f(x) = y, then f⁻¹(y) = x.
This tool helps you find the value of x for a given y and a function f(x). It's particularly useful when solving equations or analyzing function behavior. For example, if you have a function like f(x) = 2x + 3 and you want to find x when y = 7, you are essentially finding the inverse.
To use this calculator, enter the function f(x) and the desired y value. The calculator will then compute and display the corresponding x value, along with a visualization of the function and the point (x, y).