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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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Pg. 57/73 Homework Pg. 73# 121 – 128 all Pg. 66 # 1 – 11 odd, 35 – 38 all #61x = 9 ft or 11 ft#62x = 2.50 in #6331, 250 ft 2 #124r = 6.91 units #129Graph#130Q1.

Pg. 57/73 Homework Pg. 73# 121 – 128 all Pg. 66 # 1 – 11 odd, 35 – 38 all #61x = 9 ft or 11 ft#62x = 2.50 in #6331, 250 ft 2 #124r = 6.91 units #129Graph#130Q1.

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