Pre-Calc_2_7_IP (1)

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  • 14.05.2020
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WORKSHEET 7.4 INVERSE FUNCTIONS

 

 

Inverse Relations

Find the inverse for each relation.

 

1.         { (1, -3), (-2, 3), (5, 1), (6, 4) }         2.        { (-5, 7), (-6, -8), (1, -2), (10, 3) }

 

 

Finding Inverses

Find an equation for the inverse for each of the following relations.

 

3.         y 3x 2                 4.         y 5x 7                5.         y 12x 3

 

6.          y 8x 16              7.         y x 5                 8.         y  x 5

 

9.          y  x 10            10.       y x 8                 11.       y x2 5

 

12.       y x2 4                  13.       y (x 3)2                14.       y (x 6)2

 

15.        y x 2, y 0       16.        y x 5, y 0       17.         y x 8, y 8

 

18.         y x 7, y 7

 

 

Verifying Inverses

Verify that f and g are inverse functions.

 

 

19.       f(x) x 6, g(x) x 6                 20.

 

x

f(x) 5x 2, g(x) 2

5

21.            f(x) 3x 9, g(x)  x 3 22.       f(x) 2x 7, g(x) x 7

2

 

23.        f(x) 4x 8, g(x)  x 2       24.        f(x) x 7, g(x) 2x 14

 

 

 

 

 

 

continued on back

Graphing Inverses

Graph the inverse for each relation below (put your answer on the same graph).

 

25. 26.

 

 

 

 

 

 

 

 

 

 

 

 

27. 28.

ANSWERS – Worksheet 7.4

 

1.             { (-3, 1), (3, -2), (1, 5), (4, 6) }            25.

2.             { (7, -5), (-8, -6), (-2, 1), (3, 10) }             

3.             y x 2     

                                      3                                                          

4.             yx7     

                                           5                                                       

5.             y x 3     

12

 

6.             y x 2          26.

 

7.             y x          

 

8.             y  x       

 

9.             y x16

 

10.          y 2x 16           

11.          y  x 5          27.

 

12.          y  x 4

 

13.          y 3 x

 

14.          y 6    

15.          y x2 2, x 0              

16.          y x2 5, x 0              

 

17.          y (x 8)2, x 8

 

18.          y (x 7)2, x 7        28.

19.          verify

20.          verify

21.          verify

22.          verify

23.          verify

24.          verify