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# What is a composite function and how are they written?

2 years ago

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Geovanni Schuster

1 Answer

Ante R
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A composite function is a function made from two (or more) other functions. You get it by substituting the **x** from one expression with the **y** from another. Functions are usually denoted by letters f, g, h...

**Example:**

First function: f(x)

Second function: g(x)

Composite: f(g(x)) or g(f(x))

**Example with expressions:**

f(x) = x²

g(x) = 2x+7

f(g(x)) = (2x+7)²

g(f(x)) = 2x²+7

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