Question

Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.

Tiles
h = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = {(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = {(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
Pairs
Sets of Points Representing Inverse Functions Sets of Points Representing Functions
h-1 = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
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i -1 = {(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
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g-1 = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
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f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
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NextReset

Answer 1

The answer is already given in your question. The inverse of a function
f is f-1, g is g-1, h is h-1 and i is i-1.

To explain why the inverse of
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)

Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.