Composite Function Calculator

Understanding Composite Functions

In mathematics, a composite function is a function that is formed by combining two or more functions. For three functions, f, g, and h, the composite function f(g(h(x))) is evaluated by first applying h to x, then applying g to the result, and finally applying f to that result. In simpler terms, it's like a chain of functions where the output of one function becomes the input of the next. For example, if f(x) = x + 2, g(x) = 2x, and h(x) = x², then f(g(h(x))) would be calculated as follows: first compute h(x) = x², then g(h(x)) = g(x²) = 2x², and finally f(g(h(x))) = f(2x²) = 2x² + 2. This calculator helps you easily compute and visualize such compositions.