1. Practice #9 p. 231 3-27 eoo Findwhe n

2. Inverse functions - one function undoes the other. x f(x) 0 -3 1 -1 2 1 3 x g(x) -3 0 -1 1 1 2 3 3 Definition of Inverse Functions - If functions f and g are such that for all x in the domains of f and g, then the f and g functions are said to be inverses of each other.

3. Finding an inverse function: 1. Rewrite the function in y= form 2. Switch x and y 3. Solve for y 4. Adjust the domain of the original function if necessary 5. The new function is

4. Find the inverse of each function.

5. Pre calculus Problem of the Day Homework: p. 221 99-102 all, p. 231-232 29-63 odds, 67, 68 Use functions f and g to find the indicated domains or functions. a)Domain of f+g, f-g, and fg. b)Domain of f/g. c) f(g(x)) d) Domain of f(g(x)). a)[ 1, 2)U(2, ∞) b)( 1, 2)U(2, ∞) c) d) [ 1, 5)U(5, ∞)

6. Find the inverse for each function. Sketch the original and its inverse on the same graph for each function.

7. One-to-one functions- all x values have unique y answers and If a function is one-to-one its inverse will also be a function without limiting the domain. A function is one-to-one if it passes the horizontal line test.