Interactive Inverse Function Grapher
Visualize a function and its inverse function \(f^-1(x)\) on an interactive graph.
Enter a mathematical function in terms of x.
About Inverse Function Grapher
The Inverse Function Grapher is a tool that helps you visualize a function and its inverse. An inverse function, denoted as \(f^-1(x)\), essentially "reverses" the operation of the original function, \(f(x)\). If \(f(a) = b\), then \(f^-1(b) = a\). Graphically, the graph of an inverse function is a reflection of the original function across the line \(y = x\).
To use this tool, simply enter a function of x in the input field (e.g., x^2, 2*x + 1, sin(x)). Click 'Calculate' to plot both the function and its inverse on an interactive graph. You can zoom, pan, and hover over the graph to explore the functions in detail. Use the 'Reset' button to clear the input and graph.
This tool is useful for students and educators in algebra and calculus to understand the concept of inverse functions visually. Explore various functions and their inverses to build a stronger intuition.