Function Composition Calculator
Calculate function composition (f∘g)(x) and evaluate composite functions at specific values
About this calculator
The Function Composition Calculator helps you compute composite functions (f∘g)(x) = f(g(x)) by combining two mathematical functions. This powerful tool automatically processes the algebraic manipulation required when one function is substituted into another, saving time on complex calculations. Whether you're working with polynomials, trigonometric functions, or other mathematical expressions, this calculator simplifies the composition process and can evaluate the result at specific x-values, making it essential for algebra, calculus, and advanced mathematics coursework.
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). You can also input a specific x-value to evaluate the composite function numerically at that point.
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 any types of functions?
Yes, you can compose polynomials, exponential, logarithmic, trigonometric, and other standard mathematical functions using proper notation.
Is (f∘g)(x) the same as (g∘f)(x)?
No, function composition is not commutative. (f∘g)(x) = f(g(x)) is generally different from (g∘f)(x) = g(f(x)).