Examples

f = ((1, 0), (3, 4), (5, 2), (8, 9))

$f = ((1, 0), (3, 4), (5, 2), (8, 9))$

Step 1

Since there is one value of

y

$y$ for every value of

x

$x$ in

(1, 0), (3, 4), (5, 2), (8, 9)

$(1, 0), (3, 4), (5, 2), (8, 9)$ , this relation is a function.

The relation is a function.

Step 2

Use the definition of the inverse of a function to find the inverse of the set. The inverse is found by swapping the values of

x

$x$ and

y

$y$ in each ordered pair.

(0, 1), (4, 3), (2, 5), (9, 8)

$(0, 1), (4, 3), (2, 5), (9, 8)$

Step 3

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