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Operations with Functions Objective: Perform operations with functions and find the composition of two functions.

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Presentation on theme: "Operations with Functions Objective: Perform operations with functions and find the composition of two functions."— Presentation transcript:

1 Operations with Functions Objective: Perform operations with functions and find the composition of two functions

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4 Operations with Functions For all functions f and g: Sum: (f + g)(x) = f(x) + g(x) Difference (f – g)(x) = f(x) – g(x) Product (fg)(x) = f(x)g(x) Quotient (f/g)(x) = f(x)/g(x)

5 Example 1

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8 Try This Let and. Find: (f + g)(x) (f – g)(x)

9 Try This Let and. Find: (f + g)(x) (f – g)(x)

10 Try This Let and. Find: (f + g)(x) (f – g)(x)

11 Example 2

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14 Try This Let and. Find: (f g)(x) (f/g)(x)

15 Try This Let and. Find: (f g)(x) (f/g)(x)

16 Try This Let and. Find: (f g)(x) (f/g)(x)

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18 Example 3

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21 Try This Let and. Find: and

22 Try This Let and. Find: and

23 Try This Let and. Find: and

24 Example 4

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27 Example 5 Let and. Find

28 Example 5 Let and. Find You have two choices. First, lets find f(g(x)) and evaluate it at x = 3.

29 Example 5 Let and. Find You have two choices. First, lets find f(g(x)) and evaluate it at x = 3.

30 Example 5 Let and. Find You have two choices. Second, we can find g(3) and put that answer into f.

31 Example 5 Let and. Find You have two choices. Second, we can find g(3) and put that answer into f.

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33 Homework Page odd


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