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Image and preimage of a function
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Created
2026-09-24
Updated
2026-09-24
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Images
send
subsets
of
a
domain forward through
a
function
, while preimages pull
subsets
of the
codomain
back.
Table of contents
Image of a function
Image and preimage of a function
Image of a function
(
f
(
X
)
)
0
0
0
Image and preimage of a function
For
a
function
f
:
X
→
Y
, its
image
is
f
(
X
)
=
{
f
(
x
)
:
x
∈
X
}
.
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(5)
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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Image of a linear map
Past exam of the mathematics course of the University of Cambridge
/
2017
/
ib
/
Paper 2
/
4E
/
a
/
Solution
Surjective linear map
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