Composition Of Functions

## Description

A composition of functions $h(x)$ is written as

(1)\begin{equation} h(x)=f(g(x)). \end{equation}

Consider when $f(x)=3x-1$ and when $g(x)=2+x^2$. The Sage cell below shows the composition $h(x) = f(g(x)) = 3(2 + x^2) - 1$ when $x=2$.

## Sage Cell

#### Code

```
f(x)= 3 * x - 1
g(x)=2 + x ^ 2
h(x)= f ( g ( x ) )
h(2)
```

## Options

#### Option

None

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Date: 23 Oct 2018 19:57

Submitted by: James A Phillips