# Composite functions

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##### Intros

##### Examples

###### Lessons

**Introduction to Composite Functions**

If $f(x)= 4x-5$

$g(x)=8x^2+6$

Determine**Evaluate a Composite Function Graphically**

Use the graphs of $f(x)$ and $g(x)$ to evaluate the following:

**Determine the Composition of Three Functions**

Use the functions $f(x)=3x,$$g(x)=x-7$and $h(x)=x^2$

to determine each of the following:**Determine the Original Functions From a Composite Function**

If $h(x)=(f\circ g)(x)$determine $f(x)$and $g(x)$**Composite Functions with Restrictions**

Consider $f(x)=\sqrt{x-13}$and $g(x)=x^2+4$, for each of the function below:**Composite Functions with Restrictions**

Consider $f(x)=\sqrt{x-13}$and $g(x)=x^2+4$, for each of the function below:

i) state the domain and range

ii) sketch the graph.