Calxsolver
Precalculus

Function Composition Calculator

Enter two functions f(x) and g(x) to get the composed function (f ∘ g)(x) = f(g(x)) in simplified form. You can also fill in a numeric value of a to get the composed value (f ∘ g)(a) alongside.

Function Composition Calculator

Compute (f ∘ g)(x) symbolically, plus an optional value at x = a.

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Frequently asked questions

Is (f ∘ g) the same as (g ∘ f)?

No — composition is not commutative. f(g(x)) and g(f(x)) are generally different functions.

What input syntax does it accept?

Any expression in x with +, −, ×, ÷, ^ and the standard functions sqrt, sin, cos, tan, exp, ln. Implicit multiplication (3x, 2sin(x)) is supported.

Does it simplify the composition?

Yes — the composed expression goes through the same simplifier as the symbolic derivative tool, so constants collapse and like terms combine when possible.

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