Inverse Function Evaluator

Unlock the inverse of any function! Enter f(x) and a y value to find x such that f(x) = y. Visualize the function and result.

Enter y Value

The value for which you want to find the inverse function.

Enter f(x) Function

Enter the function of x. Use JavaScript syntax for functions (e.g., Math.sin(x), Math.sqrt(x)).

Inverse value (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).