1. Composition of
Functions

2. Composing
functions is quite
simple…

3. Basic composing uses two
functions. We will call them
f(x) and g(x).

4. Composition of Functions
f(x) = 3x2
+ 4
and
g(x) = 6x - 8

5. Composition of Functions
If the composition is f(g(x)), (f
of g of x), simply insert the
g(x) function wherever an x
appears in the f(x) function.

6. Composition of Functions
So, f(g(x)) = f(6x - 8)
= 3(6x - 8)2
+ 4

7. Composition of Functions
Then simplify the
equation.

8. Composition of Functions
= 3(6x - 8)2
+ 4
= 3(6x - 8)(6x - 8) + 4
= 3(36x2
- 48x - 48x + 6) +
4
= 3(36x2
- 96x + 6) + 4
= 108x2
- 288x + 18 + 4
= 108x2
- 288x + 22