Function Composition Calculator
Calculate composition of functions (f∘g)(x) and evaluate composite functions at specific points
About this calculator
The Function Composition Calculator helps you find the composition of two functions (f∘g)(x), which means substituting one function into another. This powerful tool is essential for calculus students, mathematicians, and anyone working with complex mathematical relationships. It simplifies the process of combining functions and evaluating composite functions at specific points, saving time and reducing calculation errors in homework, research, or professional applications.
How to use
Enter your first function f(x) and second function g(x) using standard mathematical notation. The calculator will compute the composition (f∘g)(x) by substituting g(x) into f(x). Optionally, enter a specific x-value to evaluate the composite function at that point and get the numerical result.
Frequently asked questions
What is function composition?
Function composition (f∘g)(x) means applying function g first, then applying function f to the result, written as f(g(x)).
Can I compose more than two functions?
This calculator handles two functions at a time. For multiple compositions, use the result as input for another composition.
What mathematical notation can I use?
Use standard notation like x^2, sqrt(x), sin(x), cos(x), ln(x), and basic arithmetic operators (+, -, *, /).