Function Composition (f∘g)

Calculate Function Composition (f∘g) instantly with the exact formula and a worked example.

Function Composition (f∘g)

x
f: x↦ax+b, a
b
g: x↦cx+d, c
d
(f∘g)(x)
13
Calculate Function Composition (f∘g) instantly with the exact formula and a worked example.

More about: Function Composition (f∘g)

What it calculates

The “Function Composition (f∘g)” calculator computes (f∘g)(x) from 5 parameters: x, f: x↦ax+b, a, b, g: x↦cx+d, c, d.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters x = 2, f: x↦ax+b, a = 2, b = 1, g: x↦cx+d, c = 3, d = 0 the result is 13.

How to use

  1. Enter x, f: x↦ax+b, a, b, g: x↦cx+d, c and d — each field above is adjustable with a slider.
  2. (f∘g)(x) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Function Composition (f∘g) calculated?
The Function Composition (f∘g) calculator computes (f∘g)(x) from x, f: x↦ax+b, a, b, g: x↦cx+d, c, d. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Function Composition (f∘g) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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