1. Chapter 7 7.6: Function Operations

2. Function Operations

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

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

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

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

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

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

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

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

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