1. Aim: How can we evaluate composition of functions?

2. Chi-Ching!! f(x) = x+2 g(x) = 5x Find: f(2)= f(3)= f(4)= Find: g(2)= g(3)= g(4)= 4 5 6 10 15 20

3. What is f(g(4))? f(x) = x+2 g(x) = 5x g(x) f(x) 5x x+2 4 20 20 22

4. What is g(f(4))? f(x) = x+2 g(x) = 5x f(x) g(x) x+2 5x 4 6 6 30

5. What is f(g(3))? f(x) =3x+2 g(x) = x-3 g(x) f(x) x-3 3x+2 3 0 0 2

6. This is read as f follows g of 6 You evaluate the g function first and then the f function

7. What is f(x) =3x+2 g(x) = x-3 g(x) f(x) x-3 3x+2 6 3 3 11

8. What is f(x) =3+x g(x) = 8x g(x) f(x) 8x 3+x 1/2 4 4 7

9. Now we will try to find the rule of the function. We will combine the functions by replacing the x in one function with the other function.

10. What is f(x) = 6x g(x) =x-2 g(x) f(x) x-2 6x x-2 x-2 6x-12

11. What is f(x) = 2x g(x) =5x g(x) f(x) 5x 2x 5x 5x 10x

12. Homework for tonight P286-287/ 2-18 even