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Composition of Functions - How to Compose Two Functions f(x) and g(x
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
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