Find the inverse of each function and determine whether or not the inverse is a function. 3. f x( )= x+ 3. To find the inverse function. STEP 1: Rewri...

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1. Determine if f ( x) = 6− 2x and g(x ) =

6− x are inverse functions. 2

2. Determine if f ( x) = 4 − x and g(x ) = x + 4 are inverse functions.

Property of Inverse Functions

How do you tell an equation is NOT a function? Find the inverse of each function and determine whether or not the inverse is a function. 3. f ( x) = x+ 3 To find the inverse function STEP 1: Rewrite the function with y = (if necessary) STEP 2: Switch x and y in the equation STEP 3: Solve for y STEP 4: Replace y with the notation for an inverse function (if necessary)

4. f ( x) = x2 − 4x + 4

5. g(x ) =

2 1 x− 3 4

Inverse Functions 8-8 6. y = ( x +10)

2

8. q(x ) =

2 x+ 5 3

7. h(x ) =

x− 7 2

9. y = 7

Definition of Inverse Relations

Find the inverse of each function and determine whether or not the inverse is a function. 10. {(5, 1), (1, 8), (-1, 4)} STEP 1: Switch x and y values STEP 2: Look at new domain values to determine if it is a function

11. {(-5, 1), (2,- 8), (-3, 5), (0, 1)}

12. {(6, 1), (3, - 7), (3, -4), (-8, 2)}