1. Inverse Linear Functions
4-7

2. An inverse relation is the set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair in a relation. If (5,3) is an ordered pair of a relation, then (3,5) is an ordered pair of the inverse relation

3. Example A and B are inverse relations
(-3,-16)
(-1, 4)
(2,4)
(5,32) B

4. a. {(4,-10), (7, -19), (-5,17), (-3,11)} x -4 -1 5 9 y -13 -8.5 0.5
6.5 b.

5. Steps in finding the inverse function
Replace f(x) with y in the equation for f(x)
Interchange y and x in the equation
Solve the equation for y
Replace y with f-1(x) in the new equation

6. Find the inverse of f(x)=3x – 2

7. Find the inverse of each function
f(x) = 4x – c) f(x) = - ½ x + 11
f(x) = 4x – d) f(x) = 1/3x + 7

8. Graph the inverse of each function

9. Randall wants to make a report on climate analysis
Randall wants to make a report on climate analysis. He found a table of temperatures recorded in degrees celsius. He knows that a formula for converting degrees fahrenheit to degrees celsius is c(x) = 5/9(x-32). He will need to find the inverse function to convert from degrees Celsius to degrees fahrenheit.

10. Write the inverse of each notation in f-1(x)
3y – 12x = y = x
-7y + 2x = x + 24 = 2x