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Chapter 7 7.6: Function Operations

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Function Operations

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Example O If f(x) = 3x + 8 & g(x) = 2x – 12, O find (f + g) & (f – g) and their domains

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Example O If f(x) = 5x² - 4x & g(x) = 5x + 1 O Find (f + g) & (f – g) and their domains

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Example O If f(x) = x² - 1 and g(x) = 5x + 1, O Find f ∙ g & f/g and their domains

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Example O If f(x) = 6x² + 7x – 5 & g(x) = 2x – 1, O Find f ∙ g & f/g and their domains

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Composite Functions O Composite Functions: When you apply one function (g(x)) after another function (f(x)) O (g ◦ f)(x) = g(f(x))

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Example O Let f(x) = x – 2 and g(x) = x² O Find (g ◦ f)(-5) O Method 1: O Method 2:

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Example O Let f(x) = x – 2 and g(x) = x² O Find (f ◦ g)(-5) O Method 1: O Method 2:

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Example O Let f(x) = 3x + 1 and g(x) = 2x² + 1 O Find f(g(-1)) O Method 1: O Method 2:

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Assignment O p. 394-395 O 13-19, 22-38 evens

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