1. Math on the Mind

2. Composition of Functions Unit 3 Lesson 7

3. Composite Function The composition of function g with function is written as 1 2 1. Evaluate the inner function f(x) first. 2. Then use your answer as the input of the outer function g(x). The composition (f o g)(x) or f(g(x)) is read “f of g of x.” Reading Math

4. Step 1: Find g(3) Given f(x) = 2x – 3 and g(x) = x 2, find f(g(3)) g(3) = 3 2 Step 2: Find f(9) = 9 f(9) = 2(9) – 3 = 15 So f(g(3)) = 15.

5. Step 1 Find f(3) Given f(x) = 2x – 3 and g(x) = x 2, find g(f(3)) f(3) = 2(3) – 3 Step 2 Find g(3) = 3 g(3) = 3 2 = 9 So g(f(3)) = 9.

6. Suppose that and. Find

7. Example

8. Example:

9. 4