Function Composition Calculator — (f∘g)(x)
Use this free function composition calculator to evaluate (f∘g)(x) = f(g(x)) and (g∘f)(x) at a chosen value, with each step shown and a graph of the composition.
How composition works
To compute (f∘g)(x), first evaluate the inside function g, then apply f to the result. Order matters: (f∘g) and (g∘f) are usually different.
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Enter f(x) and g(x).
- Enter the value of x.
- Press Compose.
Related: the Inverse Function Calculator and more free math calculators.
Frequently asked questions
Is (f∘g) the same as (g∘f)?
Usually no — composition is not commutative. The calculator shows both.
Original price was: $109.99.$54.99Current price is: $54.99.
What does f∘g mean?
It means f(g(x)): apply g first, then f.
Original price was: $109.99.$54.99Current price is: $54.99.
Can I use trig and other functions?
Yes — sin, cos, tan, exp, ln, log, sqrt, and abs are supported.
Original price was: $27.99.$17.99Current price is: $17.99.
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