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# Composition Of Functions

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### Composition Of Functions

1. 1. Composition of Functions
2. 2. Composing functions is quite simple…
3. 3. Basic composing uses two functions. We will call them f(x) and g(x).
4. 4. Composition of Functions f(x) = 3x2 + 4 and g(x) = 6x - 8
5. 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. 6. Composition of Functions So, f(g(x)) = f(6x - 8)              = 3(6x - 8)2 + 4
7. 7. Composition of Functions Then simplify the equation.
8. 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