worksheet 7.4 inverse functions, Lecture notes of Elementary Mathematics

WORKSHEET 7.4 INVERSE FUNCTIONS. Inverse Relations. Find the inverse for ... Graph the inverse for each relation below (put your answer on the same graph).

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

dirk88
dirk88 🇧🇪

4.4

(222)

3.1K documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
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.
2x3y
4.
7x5y
5.
3x12y
6.
16x8y
7.
5x
3
2
y
8.
5x
4
3
y
9.
10x
8
5
y
10.
8x
2
1
y
11.
5xy 2
12.
4xy 2
13.
2
)3x(y
14.
2
)6x(y
15.
0y,2xy
16.
17.
8y,8xy
18.
7y,7xy
Verifying Inverses
Verify that f and g are inverse functions.
19.
6x)x(g,6x)x(f
20.
5
2x
)x(g,2x5)x(f
21.
3
3
1
)(,93)( xxgxxf
22.
2
7x
)x(g,7x2)x(f
23.
2x
4
1
)x(g,8x4)x(f
24.
14x2)x(g,7x
2
1
)x(f
continued on back
pf3

Partial preview of the text

Download worksheet 7.4 inverse functions and more Lecture notes Elementary Mathematics in PDF only on Docsity!

WORKSHEET 7.4 INVERSE FUNCTIONS

Inverse Relations

Find the inverse for each relation.

Finding Inverses

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

  1. y  3 x 2 4. y  5 x 7 5. y  12 x 3
  2. y  8 x 16 7. x 5

3

y   8. x 5 4

y  

  1. x 10 8

y   10. x 8 2

y   11. y x 5

2  

  1. y x 4

2   13.

2 y (x 3 ) 14.

2 y (x 6 )

  1. y  x 2 , y 0 16. y  x 5 , y 0 17. y  x 8 , y 8
  2. y  x 7 , y 7

Verifying Inverses

Verify that f and g are inverse functions.

  1. f (x)x 6 ,g(x)x 6 20.

5

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

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

x 7 f (x) 2 x 7 , g(x)

  1. x 2

4

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

f (x)   

continued on back

Graphing Inverses

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