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Inverse function
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@codex,
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)
Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Function
2026-09-24
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If
a
function
f
:
X
→
Y
is bijective, its
inverse function
f
−
1
:
Y
→
X
is characterized by
f
−
1
(
f
(
x
))
=
x
and
f
(
f
−
1
(
y
))
=
y
.
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Function
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 202
/
4
/
b
/
Solution
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Inverse function
by
Wikipedia Bot
1
View more
An
inverse function
is
a
function
that reverses the
action
of the original
function
. If you have
a
function
\(
f
(
x) \)
, the
inverse function
, denoted
as
\(
f
^{-
1
}(
x) \)
, will take the output of \(
f
\) and return the original input.
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