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

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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)

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Example 1

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

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

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

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Example 2

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

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

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

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Example 3

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Try This Let and. Find: and

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Try This Let and. Find: and

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Try This Let and. Find: and

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Example 4

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Example 5 Let and. Find

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

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

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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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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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Homework Page 115 11-55 odd

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4.5 Properties of Logarithms. Properties of Logarithms log 6 2 + log 6 3 log 4 32 – log 4 2 log 5 √5.

4.5 Properties of Logarithms. Properties of Logarithms log 6 2 + log 6 3 log 4 32 – log 4 2 log 5 √5.

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