Question 735552: State the inverse of each relation. Is the inverse a function?
1. {(18, -3), (-13, -10), (-3, 17), (0, -15)}
2. {(5, -11), (-19, -19), (-6, -4), (-3, 8), (-12, 5)}
3. {(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}
4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)}
5. {(-14, -9), (-0, 2), (8, -4), (-5, 6), (-7, -4)}
6. {(-15, -1), (0, -1), (-6, -1), (-16, 3)}
7. g(x) = (4/3)x - 7/3
8. h(x) = (18x + 2)/10
9. f(x) = (2/9)x - 1/9
10. f(x) = (-6x + 2)/5
11. g(x) = (5/8)x - 3/4
12. h(x) = (8x + 9)/8
13. h(x) = (-7/5)x - 1
14. f(x) = (9/8)x + 3/8
15. g(x) = (18x + -36)/30
Are f and g inverses of each other? Give your explanation to support your response.
16. f(x) = (2x + -6)/7
g(x) = (7/2)x + 3
17. f(x) = -(1/5)x + 3/5
g(x) = -5x + 3
18. f(x) = x + 1/2
g(x) = 1x - 1/2
19. f(x) = (63x + 42)/49
g(x) = (7/9)x - 2/5
20. Fahrenheit and Kelvin temperature scales are related by the formula K = 5/9 (F - 32) + 273. Solve this equation for F.
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website! Generally we switch the roles of  and  to find the inverse.
1. {(18, -3), (-13, -10), (-3, 17), (0, -15)}
the inverse:{(-3, 18), (-10, -13), (17, -3), (-15, 0)}
2. {(5, -11), (-19, -19), (-6, -4), (-3, 8), (-12, 5)}
the inverse:{(-11, 5), (-19, -19), (-4, -6), (8, -3), (5, -12)}
3. {(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}
the inverse:{(-8, -9), (6, -16), (6, 17), (4, 19), (9, -8), (-10, -10)}
4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)}
the inverse:{(-5, 8), (-14, -4), (12, 16), (4, -13), (-2, -17), (-13, 3)}
5. {(-14, -9), (-0, 2), (8, -4), (-5, 6), (-7, -4)}
the inverse:{(-9, -14), (2, 0), (-4, 8), (6, -5), (-4, -7)}
6. {(-15, -1), (0, -1), (-6, -1), (-16, 3)}
the inverse: {(-1, -15), (-1, 0), (-1, -6), (3, -16)}
7.  ....
we write  and solve for
8.  ...
 ..switch and
 ...solve for
9. 
or  ....switch and
10.  or 
11. 
12. 
13. 
14. 
15. 
Are  and  inverses of each other? Give your explanation to support your response.
16.  to make sure if and inverses , find inverse of and see if it is equal to 
or should be  or 
 ...this is  and as you can see it is equal to
do same with
 ....... is equal to 
so, and are inverses of each other
I am sure you will be able to do 17,17, and 19 by yourself
17. 
18. 
19. 
20. Fahrenheit and Kelvin temperature scales are related by the formula K = 5/9 (F - 32) + 273. Solve this equation for F.
 ... Solve this equation for  .
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