Composite Function Evaluator

Calculate f(g(x)) with ease. Enter your functions and x value below!

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Enter f(x):

Enter g(x):

Result:

Calculation Steps

What is a Composite Function?

In mathematics, a composite function is a function that is formed by combining two functions. If we have two functions, f(x) and g(x), the composite function f(g(x)) means that we first apply the function g to x, and then apply the function f to the result. In simpler terms, we are plugging the function g(x) into the function f(x).

For example, if f(x) = 2x + 1 and g(x) = x², then f(g(x)) = f(x²) = 2(x²) + 1 = 2x² + 1. This tool helps you evaluate such composite functions by taking the functions f(x), g(x), and the value of x as inputs and showing you the step-by-step calculation.

f(x): The outer function.
g(x): The inner function.
x: The value at which to evaluate the composite function.

Use this tool to quickly and accurately calculate composite functions and understand the process involved.