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Algebra Examples
Step-by-Step Examples
Algebra
Relations
Find the Relation Inverse
f
=
(
(
1
,
0
)
,
(
0
,
5
)
,
(
0
,
2
)
,
(
8
,
9
)
)
f
=
(
(
1
,
0
)
,
(
0
,
5
)
,
(
0
,
2
)
,
(
8
,
9
)
)
Step 1
Since
x
=
0
x
=
0
produces
y
=
5
y
=
5
and
y
=
2
y
=
2
, the relation
(
1
,
0
)
,
(
0
,
5
)
,
(
0
,
2
)
,
(
8
,
9
)
(
1
,
0
)
,
(
0
,
5
)
,
(
0
,
2
)
,
(
8
,
9
)
is not a
function
.
The relation is not a
function
.
Step 2
The relation
(
1
,
0
)
,
(
0
,
5
)
,
(
0
,
2
)
,
(
8
,
9
)
(
1
,
0
)
,
(
0
,
5
)
,
(
0
,
2
)
,
(
8
,
9
)
is not a
function
, so there is no
inverse
can be found.
No
inverse
can be found
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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